How Do You Write 0.083 As A Fraction? Trust The Answer

Question:

Express 0.83 as a fraction.

Expressing decimals as fractions:

To convert a two-space decimal to a fraction, we simply need to write the digits we find after the decimal point as the numerator and 100 as the denominator, and then simplify the fraction. This works because this is the same as multiplying the decimal by 100 to eliminate the decimal point and then using the number we multiplied the decimal by as the denominator.

Answer and explanation: 1

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Conversion and Equivalent Tables.

Decimal equivalents of fractions of an inch Fraction Decimal Fraction Decimal Fraction Decimal Fraction Decimal Fraction Decimal Fraction Decimal 1/64 0.0156 5/32 0.1563 19/64 0.2969 7/16 0.4375 37/64 0.5781 23/32 . 7188 55/64 .8594 1/32 .0313 11/64 .1719 5/16 .3125 29/64 .4531 19/32 .5938 47/64 .7344 7/8 .8750 3/64 .0469 3/16 . 1875 21/64 .3281 15/32 .4688 39/64 .6094 3/4 .7500 57/64 .8906 1/16 .0625 13/64 .2031 11/32 .3438 31/64 .4844 5/8 . 6250 49/64 .7656 29/32 .9063 5/64 .0781 7/32 .2188 23/64 .3594 1/2 .5000 41/64 .6406 25/32 .7813 59/64 .9219 3/32 . 0938 15/64 .2344 3/8 .3750 33/64 .5156 21/32 .6563 51/64 .7969 15/16 .9375 7/64 .1094 1/4 .2500 25/64 .3906 17/32 . 5313 43/64 .6719 13/16 .8125 61/64 .9531 1/8 .1250 17/64 .2656 13/32 .4063 35/64 .5469 11/16 .6875 53/64 .8281 31/32 . 9688 9/64 .1406 9/32 .2813 27/64 .4219 9/16 .5625 45/64 .7031 27/32 .8438 63/64 .9844

Decimal equivalents of a fraction can be found by dividing the top number by the bottom (example….1/2″…..divide 1 by 2 and get the result 0.5)

Decimal value of a foot (in 1 inch increments only) feet/inches decimal feet feet/inches decimal feet feet/inches decimal feet feet/inches decimal feet feet/inches decimal feet feet/inches decimal feet feet/inches decimal feet 0′-1″ 0.083′ 0′- 3″ 0.25′ 0′-5″ 0.416′ 0′-7″ 0.583′ 0′-9″ 0.75′ 0′-11″ 0.916′ 0′-2″ 0.166′ 0′-4″ 0.333′ 0′-6″ 0.5′ 0′-8″ 0.666′ 0′-10″ 0.833′ 1′-0″ 1.0′

Decimal equivalents of a foot can be found by dividing the desired measurement by 12″ (Example….2″…..divide 2 by 12 and get the result 0.1666).

You can also use fractions of inches (in decimal form), e.g. B. 2.5 inches (2 1/2 inches). Divide 2.5 by 12 and get the result 0.208333′.

For information on metric conversions, refer to the following website…….

http://www.convertit.com/Go/ConvertIt/Measurement/Converter.ASP

Frequently asked questions about converting decimal 0.055 to percent

1. What is decimal 0.055 in percent?

Decimal 0.055 in percent is 5.5%.

2. How to convert decimal 0.055 to percentage?

Multiply the decimal value 0.055 by 100 to manually switch to percent.

3. How to change decimal 0.055 to percent using calculator?

Just enter the decimal value 0.055 in the input box and click the Calculate button to get the resulting percentage in fractions of a second.

0.05 in fraction is 1/20.

Explanation:

First write the given number as a fraction. (i.e.) 0.05/1.

Since the number 0.05 has two decimal places, multiply both the numerator and denominator by 100.

(i.e.) (0.05 × 100)/(1 × 100) = 5/100 = 1/20.

Therefore 0.05 in the fraction is 1/20.

I like working with decimals because each converts to a fraction that has a denominator of 10 or a power of 10.

Powers of 10 simply mean adding more zeros.

#10, 100, 1000… #

After working with some of these examples, you will see a trend.

Every time you have one more decimal place in a decimal number, you need enough zeros in the denominator to form a fraction of the given number.

So #0.09# gives us an integer of 9 for the numerator and there are two decimal places. That means the denominator contains two zeros to make #1/100.#

#0.09 = 9/100#

Also try converting #0.1085# to a fraction.

Numerator is #1085# and there are four decimals.

The denominator now needs four zeros to equal #1/10000#

#0.1085 = 1085/10000# which simplifies to #217/2000#

What about decimals greater than 1?

Convert #25.492# to a fraction.

The whole number is already #25# , the decimal part must be written as a fraction

Counter is #492# and there are three decimals.

The denominator now needs three zeros to equal #1/1000#

#25.492 = 25 492/1000# which simplifies to #25 123/250#

Frequently asked questions about converting percent 0.83% to decimal

1. What is 0.83% as a decimal?

0.83% because the decimal is 0.0083.

2. How to convert 0.83% to decimal?

Divide the percentage 0.83 by 100 and then remove %. This gives you the decimal value.

3. How to convert 0.83% to decimal with calculator?

You can convert 0.83% to decimal just by entering the input value in the tool and clicking the calculate button.

Frequently asked questions about converting 88 percent to fractions

1. What is 88% as a fraction?

88% as a fraction is 22/25

2. How do you convert 88% to a fraction?

Divide the 88% by fraction by dividing by 100 to get a decimal. Put the decimal value above as a numerator over the number length after the decimal point. Change the numerator and denominator to the integer by counting the decimals to the right of the decimal and multiplying by powers of length after the decimal of 10. Reduce the fraction further by dividing both the numerator and denominator by GCF.

3. Where can I get detailed steps to convert 88% to fraction?

Visit our page for detailed steps to convert 88% to fractions.

Lesson 5: Convert percentages, decimals, and fractions

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Convert fractions, decimals and percents

When we have conversations, we often use different words to express the same thing. For example, we could describe the same car as tiny or small or small. All these words mean that the car is not big. Fractions, decimals, and percents are like the words tiny, little, and small. They are all just different ways of expressing parts of a whole.

In this picture, each measuring cup contains the same amount of juice. But we expressed that amount in three ways: as a fraction, as a percentage, and as a decimal. Since they express the same amount, we know that 1/2, 50%, and 0.5 are equal. Every time we see 1/2, we know it can also mean 50% or 0.5.

Sometimes it’s useful to convert one type of number to another. For example, it’s much easier to add 1/4 and 0.5 if you convert 0.5 to a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.

fractions and decimals

Any fraction can also be written as a decimal and vice versa. You might not do this very often, but converting decimals and fractions can help you with math. For example, it’s easier to subtract 1/6 from 0.52 if you convert 1/6 to a decimal first.

Convert a fraction to a decimal

Let’s convert a fraction to a decimal. We’ll use a math skill you’ve already learned: long division. To refresh your memory of this skill, you can review our long division lesson.

Click through the slideshow to learn how to convert a fraction to a decimal.

Let’s see how we can convert 1/4 to a decimal.

To convert a fraction to a decimal, we simply divide the numerator…

To convert a fraction to a decimal, we simply divide the numerator… by the denominator.

In our example we divide 1 by 4.

1 divided by 4 equals 0.

To continue dividing, we add a decimal point and a zero after the 1.

We’ll also add a decimal point after the 0 above.

Now we can divide 10 by 4.

10 divided by 4 equals 2.

Now we multiply 4 by 2.

4 times 2 equals 8. So we subtract 8 from 10.

10 minus 8 equals 2.

Since 2 is greater than 0, we haven’t finished dividing yet. We add another 0 after the decimal point and bring it down.

Now we divide 20 by 4.

20 divided by 4 equals 5.

Now we will multiply. 4 times 5 equals 20.

If we subtract 20 from 20, we get 0. The 0 means we’re done dividing.

1 divided by 4 equals 0.25.

So 1/4 equals 0.25.

Try this!

Convert each of these fractions to a decimal.

Convert a decimal to a fraction

Now let’s do it the other way around. Let’s convert a decimal to a fraction.

Click through the slideshow to see how to convert a decimal to a fraction.

We’ll rewrite 0.85 as a fraction. To convert a decimal to a fraction, we use place values.

For decimal numbers, the number is immediately to the right of the decimal point in the tenths place.

The digit to the right of the tenths place is the hundredths place.

To convert a decimal, we first check the place value of the last number on the right.

0.85 has 5 in the hundredths place.

This means that our decimal place is equal to 85 hundredths. 85 hundredths can also be written as 85/100.

Now we have our share. But it’s always a good idea to shorten fractions when we can – it makes them easier to read.

To reduce, we need to find the largest number that fits equally into 85 and 100.

5 is the largest number that fits equally into 85 and 100. So we divide both parts of our fraction by 5.

First we divide the numerator. 85 divided by 5 equals 17.

Now let’s divide the denominator. 100 divided by 5 equals 20. This means that 85/100 can be reduced to 17/20.

So 0.85 equals 17/20.

Truncating a fraction may seem unnecessary when converting a decimal. But it’s important if you want to use the fraction in a math problem. If you’re adding two fractions, you may even need to reduce or change both fractions so they have a common denominator.

Try this!

Convert these decimals to fractions. Be sure to reduce each fraction to its simplest form!

percent and decimals

If you know how to convert percentages and decimals, you can calculate things like sales tax and discounts. You can learn how to do this in our Real Life Percentages lesson.

Converting a percent to a decimal

Converting a percent to a decimal is surprisingly easy. It just takes a few simple steps.

Click through the slideshow to learn how to convert a percentage to a decimal.

We’re going to convert 17% to a decimal.

First we take the percent sign…

First, let’s take the percent sign… and convert it to a decimal point.

Next we move the decimal point two places to the left.

Now we move the decimal point two places to the left.

We converted our percentage to a decimal. 17% equals 0.17.

Let’s look at another example. This time, let’s convert 78% to a decimal.

First we replace the percent sign with a decimal point.

Then we move the decimal point two places to the left.

Then we move the decimal point two places to the left.

78% equals 0.78.

Let’s look at another example. This time, let’s convert 8% to a decimal.

First we replace the percent sign with a decimal point.

Then we move the decimal point two places to the left.

Then we move the decimal point two places to the left.

Note that there is an extra space next to the 8. We can’t just leave an empty space. Since null equals nothing, we replace the space with null .

Note that there is an extra space next to the 8. We can’t just leave an empty space. Since null equals nothing, we replace the space with null .

8% equals 0.08

Why does this work?

Converting percents to decimals is so easy, you might feel like you missed something. But don’t worry – it really is that simple! Here’s why the method we showed you works.

When we convert a percent to a decimal, we’re actually doing two steps. First, let’s convert our percent to a fraction. Since all percents are outside of 100, we simply put the percents above 100, like this:

78% = 78/100

In the second step we convert 78/100 to a decimal number. You already know that we divide the numerator by the denominator as follows:

78 ÷ 100 = 0.78

Why didn’t we show you these steps in the slideshow? Because you can get the answer without them. You know that all percents are made up of 100, so you can skip converting the percents to a fraction. You have to divide the percentage by 100 to get a decimal, but there’s a quick way to do that. Just move the decimal point two places to the left! This way you can get the same answer with just one simple step.

Try this!

Convert these percentages to decimals.

Convert a decimal to a percentage

Now we’re going to reverse what you just learned. Let’s convert a decimal to a percent.

Click through the slideshow to see how to convert a decimal to a percent.

We’re going to convert 0.45 to percent.

We will reverse what we did in the last section. This time we move the decimal point two places to the right.

We will reverse what we did in the last section. This time we move the decimal point two places to the right.

Now let’s replace the decimal point with a percent sign.

We converted our decimal to a percentage. 0.45 equals 45%.

Let’s try another example. This time our decimal place has three numbers to the right of the decimal point.

But we’re still going to move the decimal point two places to the right.

But we’re still going to move the decimal point two places to the right.

We have one more number to the right of the decimal point. The number is not 0, so we cannot omit it.

Instead, we keep the decimal point and add a percent sign to the end of the number.

So 0.635 equals 63.5%.

Try this!

Calculate these decimals as a percentage.

percentages and fractions

Knowing how to write percentages as fractions and vice versa can help you in everyday life. Suppose you got an 80% grade on a test. You can convert 80% to a fraction to find out how many of your answers were correct. If your teacher marks the test, she can do the opposite. If a student gets 8 out of 10 questions correct, the teacher can convert 8/10 to a percentage to give the student a grade.

Convert a percent to a fraction

When converting a percent to a fraction, remember that percents are always different from 100. You can practice with percentages in our Introduction to Percents lesson.

Click through the slideshow to learn how to convert a percentage to a fraction.

We will convert 30% to a fraction.

In Introduction to Percents, you learned that all percents are made up of 100. In fact, the word percent means just that.

So any percent over 100 is equal to itself. In our example, 30% equals 30/100.

Now we’ve converted 30% to a fraction, but we still need to reduce it.

10 is the largest number that fits neatly into 30 and 100. So we can divide both parts of the fraction by 10.

We first divide the numerator of the fraction. 30 divided by 10 equals 3.

Now let’s divide the denominator. 100 divided by 10 equals 10.

So 30% equals 3/10.

Try this!

Write these percentages as fractions. Make sure to reduce each fraction to its simplest form.

Convert a fraction to a percent

Converting a fraction requires two of the skills you just learned: writing a fraction as a decimal and writing a decimal as a percentage. Let’s see how we can use these skills to convert a fraction to a percent.

Click through the slideshow to learn how to convert a fraction to a percentage.

Let’s convert 3/6 to a percentage.

Just like converting a fraction to a decimal, we divide the numerator by the denominator.

3 divided by 6 equals 0.5.

We converted our fraction to a decimal.

Now let’s convert the decimal to a percent by moving the decimal point two places to the right.

Now let’s convert the decimal to a percent by moving the decimal point two places to the right.

We also change the decimal point to a percent sign. 0.50 equals 50%.

So 3/6 equals 50%.

Try this!

Convert these fractions to percentages.

We’re sorry

This answer is wrong.

The easiest way to solve this problem is to convert everything to the same shape. Either convert everything to a fraction or convert everything to percent.

Convert everything to a fraction:

12% is converted to 0.12 to get a decimal number.

.12 converts to 12/100 to turn it into a fraction. Fraction is not in the lowest terms.

Reducing the fraction 12/100 to the lowest terms gives the fraction 3/25.

You now need to compare it to 1/8.

To see if the fractions are equal, you need to change both to the same common denominator. The lowest common denominator for 25 and 8 is 200. To change 1/8 so that it has a denominator of 200, the numerator and denominator are multiplied by 1 in the form 25/25.

1/8 * 25/25 = 25/200

To change 3/25 so that it has a denominator of 200, the numerator and denominator are multiplied by 1 in the form 8/8.

3/25 * 8/8 = 24/200

You can now see that 25/200 does not equal 24/200, so the second choice is incorrect.

Convert everything to percent:

To convert 1/8 to a percentage, you must first convert it to a decimal.

To convert 1/8 to a decimal, divide the denominator by the numerator. 1 divided by 8 = 0.125

To convert the decimal 0.125 to a percentage, shift the decimal point to the right two places and add the percent sign.

12% is greater than 12.5%, making the second choice wrong.

Now let’s try another one.

Which statement is correct?

video transcript

Write 7/8 as a decimal. So the key takeaway here is that 7/8 is the same as 7 divided by 8, which is the same as 7 divided by 8. These are all different ways of writing the same thing. So let’s divide 8 by 7. And I’m doing it down here just so I have a little more real estate to work with. I will divide 8 by 7. And I’m going to add a decimal point here just because we know this value will be less than 1. 7/8 is less than 1. We’re going to have a few digits to the right of the decimal point. And let me put the decimal point right up here, right above the decimal point in 7. And then we start dividing. And this is really becoming a long division problem now. And we just have to make sure we keep track of the decimal point. So 8 goes into– it doesn’t go into 7 at all, but it goes into 70. So 8 goes into 70 eight times. So it goes into 70 eight times. 8 times 8 is 64. And then you subtract. 70 minus 64 is 6. And then take another 0 down because we have a remainder. We want to get to the point where we have no leftovers. Assuming this thing doesn’t repeat itself forever. And there are other ways we can deal with it. 8 goes into 60? Alright, let’s check. It doesn’t go in eight times because that’s 64. 8 goes into 60 seven times. 7 times 8 is 56. And then we subtract again. 60 minus 56 is 4. And now we can get another 0 down over here. And 8 goes into 40? Well, it goes into 40 exactly five times. 5 times 8 is 40. And we have nothing. We have nothing left. And so we are done. 7 divided by 8 or 7/8 equals 7 divided by 8, which is 0.875. But I’m putting a leading 0 here, just to make it clear that this is where the decimal is. 0.875. And we’re done.