Is 5 16 Smaller Than 1 4? The 199 New Answer

On a typical inch ruler, each inch is divided into 16 segments (some might be 1/32 or even 1/64, but we’re all about 1/16).

Make sure you’re looking at the inch scale and not the centimeter scale. The part of your Architect’s ruler that ends up with the number 16 also looks like this.

The divisions also have a visual cue to make the ruler easier to read. The largest division, 1/2″, has the longest line. The lines on each row get shorter, ie: 1/4 is shorter than 1/2; 1/8 is shorter than 1/4; and 1/16 is shorter than 1/8.

Fractions have two parts, the numerator and the denominator. The denominator is the bottom number and tells us what fractional unit we are working with (i.e. it denotes quarters, halves, etc.). The numerator tells us how many of these fractional units we are dealing with (i.e. counts up how many quarters, halves, etc.)

The symbol for fractional inches when writing is the quotation mark “after the fraction. So 1/4 inch is written as 1/4″.

Fractions must be shortened when written down. It is correct to say that half an inch is 4/8, but it is wrong to write it that way. To reduce a fraction, divide both the numerator and denominator by two and continue until the numerator is an odd number. For example 4/8, 2/4, 1/2. One is an odd number, so 1/2 is reduced as much as possible. Again 16.12, 8.6, 4.3. Three is an odd number, so the fraction has been reduced as much as possible.

To add or subtract fractions, you need a lowest common denominator. For example, to add 1/2 and 1/4, you need a common denominator. 1/2″ equals 2/4″, so 4 is our common denominator. So 2/4″ + 1/4″ = 3/4″.

Subtraction works the same way: 7/8″ – 3/16″ = 14/16″ – 3/16″ = 11/16″.

Fractions above an inch are written: 1 3/16″ or 5 3/8”.

Fractions larger than one inch are compound fractions and must be shortened to add or subtract.

1 3/16″ + 2 1/2 = ?

You could convert everything to lowest common denominator fractions, add them up and cancel them out, or

Simplify fractions, add whole numbers, then add fractions: 1 3/16″ + 2 4/16″ = 3 7/16″

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If you have inches and want to know how many millimeters: Step one: Convert all fractional inches to decimals.

Example: 1/4 inch = 1 divided by 4 = 0.25 inch

Example: 1/16 inch = 1 divided by 16 = 0.0625 inch For amounts over an inch, you want to convert the fraction first, then add the whole inch: Example: 2-1/4 inch = 1 divided by 4, then plus 2 = 2.25 inches

Example: 1-5/8 inches = 5 divided by 8, then plus 1 = 1.625 inches

Convert any fractional inch to decimal. 1/4 inch = 1 divided by 4 = 0.25 inch 1/16 inch = 1 divided by 16 = 0.0625 inch 2-1/4 inch = 1 divided by 4 then plus 2 = 2.25 inch 1- 5/8 inch = 5 divided by 8, then plus 1 = 1.625 inch Step Two: Multiply this decimal by 25.4

For each of the above examples, the full steps would be:

1/4 inch = 1 divided by 4, x 25.4 = 6.35mm (6mm)

1/16 inch = 1 divided by 16, x 25.4 = 1.5875 (1.6mm)

2-1/4 inches = 1 divided by 4 plus 2, x 25.4 = 57.15 (57mm)

1-5/8 inches = 5 divided by 8, plus 1, x 25.4 = 41.275 (41mm) If you have millimeters (or centimeters) and want inches: Step One: Divide your millimeter amount by 25.4

(or divide your centimeter amount by 2.54)

Example 1: 2mm divided by 25.4 = 0.07874 inch

Example 2: 6mm divided by 25.4 = 0.2362 inch

Example 3: 30mm divided by 25.4 = 1.1811 inches

Example 4: 4cm divided by 2.54 = 1.5748 inches If you are trying to figure out how many 6mm beads you need for a 20 inch necklace, you can use this decimal directly. From Example 2 above, you know that a 6mm bead = . 2362 inches.

So, 20 inches (per necklace) divided by 0.2362 inches (per bead) = 84.67 beads per necklace.

Since you’ll probably need to reserve some space for your bead tips and a clasp, I would round down to 80 beads. Chart showing the number of beads per strand

However, if you want fractions of an inch (1/16, 1/4, 1/2) instead of a decimal, try this: Step two: Convert your decimal to a usable fraction:

I prefer rounding to the nearest 1/16 inch. To round to the nearest 1/16 of an inch, multiply your decimal by 16. The resulting number tells you how many 1/16 of an inch you have.

Use the numbers from step 1 above:

0.07874 times 16 = 1.26, which rounds to 1, which is about 1/16 of an inch.

0.2362 times 16 = 3.779, which rounds to 4, so roughly 4/16. 4/16 = 1/4 inch For amounts over an inch, the easiest way is to remove the whole inch and add it back after converting the part after the decimal point: 1.1811 Removing the 1 gives you 0 .1811 times 16 = 2.9 , which rounds to 3, so about 3/16 of an inch…don’t forget to add the 1 back in, so that’s really 1-3/16 of an inch.

1.5748 If you remove the 1, you get 0.5748 times 16 = 9.1968, which rounds to 9, so about 9/16 of an inch… don’t forget to add the 1 back, so that’s really 1- 9/16 inch.

Convert your decimal to a usable fraction: Use the numbers from step 1 above: times 16 = 1.26, which rounds to 1, which is about 1/16 of an inch. times 16 = 3.779, which rounds to 4, so roughly 4/16. 4/16 = 1/4 inch If you remove the 1, you get 0.1811 times 16 = 2.9, which rounds to 3, so about 3/16 inch… don’t forget to add the 1 back, that is really 1 -3/16 inch. If you remove the 1, you get 0.5748 times 16 = 9.1968, which rounds to 9, so about 9/16 of an inch…don’t forget to add the 1 back, so that’s really 1-9/16 Customs service. For jewelry purposes I do not recommend rounding to larger fractions like 1/4 or even 1/8 inch. If you’re not making jewelry or your requirements aren’t very specific, you can round to a larger fraction like 1/4. To round to the nearest 1/4 inch, simply replace all 16’s in the examples in Step 2 with 4’s.

Using the numbers from step 1, which I also used in step 2, you get…

0.07874 times 4 = 0.315, which rounds to 0, giving you 0/4 inch (not a very useful number!)

0.2362 times 4 = 0.9448, which rounds to 1, giving you 1/4 inch (which happens to be accurate)

Course Tool List

Course tool list for automotive engineering courses. Contains wrench and socket size information.

Millimeters to Inches Conversion Chart Refer to this chart when measurements are in millimeters. Smaller items are usually measured in millimeters as this is a more accurate measurement.

MM Approximate size in inches Exact size in inches 1 mm 1/25 inch 0.03937 inch 2 mm 1/16 inch 0.07874 inch 3 mm 3/32 inch 0.11811 inch 4 mm 1/8 inch 0.15748 inch 5 mm 3/16 in. 0.19685 in. 6 mm Just under 1/ 4 in. 0.23622 in. 7 mm Just over 1/4 in. 0.27559 in. 8 mm 5/16 in. 0.31496 in. 9 mm Short of 3/8 in. 0.35433 in. 10 mm Just over 3/8 in. 0.39370 in. 11 mm 7/16 in. 0.43307 in. 12 mm Short of 1/2 in. 0.47244 in. 13 mm Just over 1/2 in. 0 .51181 inch 14 mm 9/16 inch 0.55118 inch 15 mm Short of 5/8 inch 0.59055 inch 16 mm 5/8 inch 0.62992 inch 17 mm Short of 11/16 inch 0.66929 inch Just under 3 /4 in. 0.70866 in. 19 mm Just under 3/4 in. 0.74803 in. 20 mm Just under 13/16 in. 0.78740 in. 21 mm Just over 13/16 in. 0.82677 in. 22 mm Just under 7/8 inch 0.86614 inch 23 mm A little over 7/8 inch 0.90551 inch 24 mm 15/16 inch 0.94488 inch 25 mm 1 inch 0.98425 inch

Lesson 2: Compare and reduce fractions

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compare fractions

In Introduction to Fractions, we learned that fractions are a way of representing a part of something. Fractions are useful because they tell us exactly how much we have of something. Some fractions are larger than others. For example, which is larger: 6/8ths of a pizza or 7/8ths of a pizza?

In this image we can see that 7/8 is larger. The figure makes it easy to compare these fractions. But how could we have done that without the pictures?

Click through the slideshow to learn how to compare fractions.

We have already seen that fractions have two parts.

One part is the top number or numerator.

The other is the bottom number or denominator.

The denominator tells us how many parts a whole has.

The counter tells us how many of these parts we have.

When fractions have the same denominator, it means they split into the same number of parts.

This means we can compare these fractions just by looking at the numerator.

Here 5 is more than 4…

Here 5 is more than 4… so we can say that 5/6 is more than 4/6.

Let’s look at another example. Which of these is bigger: 2/8 or 6/8?

If you thought 6/8 was bigger, you were right!

Both fractions have the same denominator.

So we compared the counters. 6 is greater than 2, so 6/8 is more than 2/8.

As you’ve seen, when two or more fractions have the same denominator, you can compare them by looking at their numerators. As you can see below, 3/4 is larger than 1/4. The larger the numerator, the larger the fraction.

Comparing fractions with different denominators

On the previous page we compared fractions that have the same lower numbers or denominators. But you know that fractions can have any number as a denominator. What if you need to compare fractions with different lower numbers?

For example, which of these is larger: 2/3 or 1/5? It’s hard to tell just by looking at her. After all, 2 is greater than 1, but the denominators are not equal.

If you look at the picture, the difference becomes clear: 2/3 is larger than 1/5. With an illustration it was easy to compare these fractions, but how could we have done that without the picture?

Click through the slideshow to learn how to compare fractions with different denominators.

Let’s compare these fractions: 5/8 and 4/6.

Before we compare them, we need to change both fractions so that they have the same denominator, or bottom number.

First we find the smallest number that can be divided by both denominators. This is what we call the lowest common denominator.

Our first step is to find numbers that are divisible by 8.

Using a multiplication table makes this easy. All numbers in the 8-series can be divided by 8 without a remainder.

Now let’s look at our second denominator: 6.

We can use the multiplication table again. All numbers in the 6-series can be divided by 6 without a remainder.

Let’s compare the two lines. It looks like there are some numbers that are divisible by both 6 and 8.

24 is the smallest number that occurs in both series, so the lowest common denominator.

Now let’s change our fractions so that they both have the same denominator: 24.

To do this, we need to change the numerators in the same way we changed the denominators.

Let’s look at 5/8 again. To change the denominator to 24…

Let’s look at 5/8 again. To change the denominator to 24…we had to multiply 8 by 3.

Since we multiplied the denominator by 3, we also multiply the numerator, or top number, by 3.

5 times 3 equals 15. So we changed 5/8 to 15/24.

We can because every number over itself is equal to 1.

So if we multiply 5/8 by 3/3…

So when we multiply 5/8 by 3/3, we’re really multiplying 5/8 by 1.

Since every number times 1 is equal to itself…

Since any number times 1 equals itself, we can say that 5/8 equals 15/24.

Now let’s do the same with our other fraction: 4/6. We also changed its denominator to 24.

Our old denominator was 6. To get 24, we multiplied 6 by 4.

So we also multiply the numerator by 4.

4 times 4 is 16. So 4/6 equals 16/24.

Now that the denominators are the same, we can compare the two fractions by looking at their numerators.

16/24 is greater than 15/24…

16/24 is greater than 15/24… so 4/6 is greater than 5/8.

reduce fractions

Which of these is bigger: 4/8 or 1/2?

If you did the math or just looked at the picture you might have been able to tell that they are the same. In other words, 4/8 and 1/2 mean the same thing, even though they’re spelled differently.

If 4/8 means the same as 1/2, why not just call it that? One half is easier to say than four eighths, and it’s also easier for most people to understand. After all, when dining out with a friend, split the bill in half, not eighths.

If you write 4/8 as 1/2, reduce it. When we shorten a fraction, we write it in a simpler form. Reduced fractions are always equal to the original fraction.

We have already reduced 4/8 to 1/2. If you look at the examples below, you can see that other numbers can be reduced to 1/2 as well. These fractions are all the same.

5/10 = 1/2

22.11 = 1/2

36/72 = 1/2

These fractions have also all been reduced to a simpler form.

4/12 = 1/3

14/21 = 2/3

35/50 = 7/10

Click through the slideshow to learn how to reduce fractions by dividing.

Let’s try to reduce this fraction: 16/20.

Since the numerator and denominator are even numbers, you can divide them by 2 to shorten the fraction.

First we divide the numerator by 2. 16 divided by 2 equals 8.

Next we divide the denominator by 2. 20 divided by 2 equals 10.

We reduced 16/20 to 8/10. We could also say that 16/20 equals 8/10.

If the numerator and denominator are still divisible by 2, we can further reduce the fraction.

8 divided by 2 is 4.

10 divided by 2 is 5.

Since there is no number by which 4 and 5 can be divided, we cannot reduce 4/5 any further.

This means that 4/5 is the simplest form of 16/20.

Let’s try reducing another fraction: 6/9.

While the numerator is even, the denominator is an odd number, so we can’t reduce by dividing by 2.

Instead, we need to find a number by which 6 and 9 can be divided. A multiplication table makes this number easy to find.

Let’s find 6 and 9 in the same row. As you can see, 6 and 9 can both be divided by 1 and 3.

Dividing by 1 doesn’t change these fractions, so we use the largest number that 6 and 9 can be divided by.

That’s 3. This is called the greatest common divisor, or gcd. (It can also be called the greatest common factor or GCF.)

3 is the gcd of 6 and 9 because it’s the largest number they can be divided by.

So we divide the numerator by 3. 6 divided by 3 is 2.

Then we divide the denominator by 3. 9 divided by 3 is 3.

Now we’ve reduced 6/9 to 2/3, which is the simplest form. We could also say that 6/9 equals 2/3.

Irreducible fractions

Not all fractions can be reduced. Some are already as simple as they can be. For example, you can’t cancel 1/2 because there is no number other than 1 that can divide both 1 and 2. (For this reason, you cannot reduce a fraction that has a numerator of 1.)

Also, some fractions with larger numbers cannot be reduced. For example, 17/36 cannot be reduced because there is no number by which both 17 and 36 can be divided. If you can’t find common multiples for the numbers in a fraction, it’s probably irreducible.

Try this!

Reduce each fraction to its simplest form.

Mixed numbers and improper fractions

In the previous lesson, you learned about mixed numbers. A mixed number has both a fraction and a whole number. An example is 1 2/3. You would read 1 2/3 like this: one and two thirds.

Another spelling would be 5/3 or five thirds. These two numbers look different but are actually the same. 5/3 is an improper fraction. It just means that the numerator is greater than the denominator.

There are times when you might prefer to use an improper fraction instead of a mixed number. It’s easy to convert a mixed number to an improper fraction. Let’s learn how:

Let’s convert 1 1/4 to an improper fraction.

First we need to figure out how many parts make up the whole number: 1 in this example.

To do this, we multiply the whole number , 1, by the denominator 4.

1 times 4 equals 4.

Now let’s add this number, 4, to the numerator 1.

4 plus 1 equals 5.

The denominator stays the same.

Our improper fraction is 5/4, or five quarters. So we could say that 1 1/4 equals 5/4.

This means that in 1 1/4 there are five 1/4s.

Let’s convert another mixed number: 2 2/5.

First we multiply the whole number by the denominator. 2 times 5 equals 10.

Next we add 10 to the numerator. 10 plus 2 equals 12.

The denominator remains the same as always.

So 2 2/5 equals 12/5.

Try this!

Try converting these mixed numbers to improper fractions.

Convert improper fractions to mixed numbers

Improper fractions are useful for math problems that use fractions, as you’ll learn later. However, they are also more difficult to read and understand than mixed numbers. For example, it is much easier to visualize 2 4/7 in your head than 18/7.

Click through the slideshow to learn how to convert an improper fraction to a mixed number.

Let’s turn 10/4 into a mixed number.

You can think of every fraction as a division problem. Just treat the dash between the numbers like a division sign (/).

So we divide the numerator 10 by the denominator 4.

10 divided by 4 equals 2…

10 divided by 4 gives 2… with remainder 2.

The answer 2 becomes our integer because 10 can be divided by 4 twice.

And the remainder, 2, becomes the numerator of the fraction because we have 2 parts left.

The denominator stays the same.

So 10/4 equals 2 2/4.

Let’s try another example: 33/3.

We divide the numerator 33 by the denominator 3.

33 divided by 3…

33 divided by 3…is 11 with no remainder.

The answer, 11, becomes our integer.

There’s no remainder, so we can see that our improper fraction was actually an integer. 33/3 equals 11.

Try this!

Try converting these improper fractions into mixed numbers.

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Course Tool List

Course tool list for automotive engineering courses. Contains wrench and socket size information.

Click on the correct answer.

What is the radius of the wheel?

Question 1 of 10

\(\color{#0a7d0a}{\frac{1}{2}}\) × 2 = 1

The radius of the wheel is 1 foot.

This is the approximate circumference of the circle. Multiply the diameter by \(\color{#be0a0a}{\frac{1}{2}}}\) to find the radius. Try again.

This is the diameter of the circle. Multiply the diameter by \(\color{#be0a0a}{\frac{1}{2}}}\) to find the radius. Try again.

You may have multiplied the diameter by 2. Multiply the diameter by \(\color{#be0a0a}{\frac{1}{2}}}\) to find the radius. Try again.

One of them is the correct radius. Try again.

The length of the radius of any circle is always \(\color{#be0a0a}{\frac{1}{2}}}\) the length of the diameter of that circle.

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Ancient mathematicians found that the circumference of a circle is always a little more than three times the circle’s diameter. They’ve since narrowed that “just over three times” to a value called pi (pronounced “pie”), denoted by the Greek letter π.\r

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The decimal value of π isn’t exact – it stays forever, but most of the time people refer to it as roughly 3.14 or 22/7, whichever form works best for specific calculations. \r

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The formula for finding the circumference of a circle is tied to π and the diameter: \r

Perimeter of a circle: C = πd = 2πr

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The d represents the diameter measure and r represents the radius measure. The diameter is always twice the radius, so any form of the equation will work.\r

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Likewise, the formula for the area of ​​a circle is bound to π and the radius:\r

Circular area: A = πr²

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This formula is: “Areas equal to pi are squared.”\r

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Find the radius, circumference, and area of ​​a circle when its diameter is 10 feet long.\r

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So the circumference is about 31.5 feet. You can find the range with the formula \r

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so the area is about 78.5 square feet.”,”description”:”A circle is a geometric figure that has only two parts to identify and classify it: its Center (or center) and its radius (the distance from the center to any point on the circle). After picking a point to be the center of a circle and knowing how far that point is from all the points that fall on the circle, you can draw a pretty decent picture.\r

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The measure of the radius can tell a lot about the circle: its diameter (the distance from side to side that goes through the center), its circumference (how wide around it is) and its area (how many square inches, feet, yards, meters – whatever – fits in).\r

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Ancient mathematicians found that the circumference of a circle is always a little more than three times the circle’s diameter. They’ve since narrowed that “just over three times” to a value called pi (pronounced “pie”), denoted by the Greek letter π.\r

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The decimal value of π isn’t exact – it stays forever, but most of the time people refer to it as roughly 3.14 or 22/7, whichever form works best for specific calculations. \r

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The formula for finding the circumference of a circle is tied to π and the diameter: \r

Perimeter of a circle: C = πd = 2πr

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The d represents the diameter measure and r represents the radius measure. The diameter is always twice the radius, so any form of the equation will work.\r

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Likewise, the formula for the area of ​​a circle is bound to π and the radius:\r

Circular area: A = πr²

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This formula is: “Areas equal to pi are squared.”\r

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Find the radius, circumference, and area of ​​a circle when its diameter is 10 feet long.\r

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so the area is about 78.5 square feet.”,”blurb”:””,”authors”:[{“authorId”:8985,”name”:”Mary Jane Sterling”,”slug”:”mary-jane -sterling “,”description”:” \t

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Mary Jane Sterling is the author of Algebra I For Dummies and many other For Dummies titles. She has taught math at Bradley University in Peoria, Illinois for more than 30 years and loves working with future business professionals, physical therapists, teachers and many others.

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Inch to mm conversion table

In order to analyze the validity of data generated in the laboratory, you must first evaluate your data from a statistical point of view. The system of measurement, particularly measuring length, varies between the English and metric systems. An inch (symbol: in) is a unit of length in the imperial (UK) and US system of measurement. Customs is primarily used in the United States, Canada, and the United Kingdom. The table below shows length to metric/inch conversions.

To convert inches to millimeters:

Dimensions – Inches to Metric Dimensions – Metric to Inches Decimal Inches Inches Fractions Metric Metric Decimal Inches 0.031” 1/32” 0.79mm 1.0mm 0.039” 0.062” 1/16” 1.57mm 1.8mm 0.071” 0.125” 1/8” 3.18mm 2.0mm 0.079” 0.188” 3/16” 4.78mm 3.0mm 0.118” 0.250” 1/4” 6.35mm 3.2mm 0.126” 0.313”. 5/16″ 7.95mm 4.0mm 0.157″ 0.375″ 3/8″ 9.53mm 4.3mm diameter 15/16″ 23.83mm 3.0cm 1.181″ 1″ 1″ 2, 54cm 4.0cm 1.575″ 2″ 2″ 5.08cm 5.0cm 1.969″ 3″ 3″ 7.62cm 6.0cm 2.362″ 4″ 4″ 10.16cm 7.0cm 2.756″ 5″ 5″ 12.70cm 8.0cm 3.150″ 6″ 6″ 15.24cm 9.0cm 3.543″ 7″ 7″ 17.78cm 10.0cm 3.937″ 10″ 10″ 25.40cm

Conversion factors formula

Inches to millimeters inches x 25.4mm/inch

Inches to centimeters inches x 2.54 cm/inch

Inches to microns inches x 25.4mm/inch. x 1,000 µm/mm

Example: Syringe Filter Selection by Diameter (mm converted to inches)

Syringe filter selection is based on filtration volume and size. With a variety of syringe filters available, understanding the role of diameter, pore size, and membrane will help in making the right selection. The sample volume determines the choice of diameter and ensures that the filter is not overloaded. The following in the table will help select syringe filters by diameter:

For small volumes (< 1 mL) syringe filters with a diameter of 3 mm or 0.118" For medium volumes (1-10mL) 15mm or 0.590” for large volumes (> 10 ml) 25 mm or 0.984 inch is chosen