Find The Ratio In Simplest Form 30 6? Top 6 Best Answers

What is a relationship?

A ratio is a comparison between two numbers. To keep it simple, let’s ignore the units (e.g. cost in dollars or weight in ounces) and just focus on the numbers part for a while. For example, how does 3 compare to 6? Well, three is half of six. We can write ratios in one of three ways:

3:6 3/6 3 to 6

Because we’re using ratios mathematically, we’ll use the “/” format for the rest of the lesson.

What is a share?

In itself, a relationship is limited to how useful it is. However, when two ratios are equated, they are called proportion. For example, 1/2 is a ratio and 3/6 is also a ratio. If we write 1/2 = 3/6, we have written a proportion. We can also say that 1/2 is proportional to 3/6. In math, a ratio without a proportion is a bit like peanut butter without jelly or bread.

How proportions can help

In math problems and in real life, if we have a known ratio comparing two quantities, we can use that ratio to predict a different ratio given half that second ratio. In the example 1/2 = 3/? is the well-known ratio 1/2. We know both terms of the known ratio. The unknown ratio is 3/?, since we know one term but not the other (so it’s not yet a comparison between two ratios). We only know one of the two terms in the unknown ratio. However, if we set them as a ratio, we can use that ratio to find the missing number.

Solve proportions with an unknown ratio

There are a few different methods we can use to solve proportions with an unknown ratio. However, the simplest and most fail-safe method is to multiply and solve the resulting equation. For the last example we would have:

1 * x = 2 * 3

1x = 6

x = 6 / 1

x = 6

To check the accuracy of our answer, simply divide the two sides of the equation and compare the decimal that results. In the example, 1/2 = 0.5 and 3/6 = 0.5. That was the correct result.

A ratio, in its simplest form, is when both sides are integers and there is no integer by which either side can be divided. Consider whole number ratios, for example 6:4. It can be written as a fraction $\frac{6}{4}$. To write a ratio in its simplest form, divide both sides by the same number until you can’t go any further without going into decimals.

Alternatively, to simplify a ratio of integers, we simplify the corresponding fraction of integers. We write the prime factors of both integers and then truncate the greatest common divisor from both the numerator and the denominator of the fraction. For the ratio 6:4, $\frac{6}{4} = \frac{6}{2} \div \frac{4}{2} = \frac{3}{2}$ The fraction can be written back to the ratio form as 3:2. The ratio of the integers 6:4 is simplified to 3:2

Ratio of 1 to 3

:

1:3

2:6

3:9

4:12

5:15

6:18

7:21

8:24

9:27

10:30 a.m

11:33

12:36

:

A ratio of 1 to 3 can be written as 1 to 3, 1:3, or 1/3. Also, 1 and 3 can be the quantity or measure of anything like student, fruit, weight, height, speed and so on. A ratio of 1 to 3 simply means that for every 1 of something, there are 3 of something else, for a total of 4. In the box below, you can enter a number in either box, and we’ll calculate the other number to find the ratio of Maintain 1 to 3. In other words, we calculate the corresponding 1:3 equivalent ratio for you. To calculate the left side of the ratio, our calculator multiplies the right side by 1, then divides the product by 3. To calculate the right side of the ratio, our calculator multiplies the left side by 3, then divides the product by 1. The Responses will be rounded to two decimal places if necessary. Below is a list of the equivalent 1:3 ratios that we created using our 1:3 ratio calculator above, using the Ratio in Perspective. To do this, we divided a cake into 4 parts and then colored 1 piece green and 3 pieces blue. The cake looks exactly the same at an equivalent 1:3 ratio. The green part of the cake covers 25% and the blue part covers 75%. To calculate the percentages, we divided each side of the ratio by their sum and then multiplied by 100, as follows: (1/4) × 100 = 25 (3/4) × 100 = 75 In fractional terms, 1/3 the top of the cake is colored green. This means that the ratio of 1 to 3 or 1:3 can also be expressed as a fraction, where the 1 to the left of the colon is the numerator and the 3 to the right of the colon is the denominator: 1:3 = 1/3Ratio is commonly used, if rectangles are defined in width:height format. Width and height can be feet, inches, centimeters, or any other type of length. For a 1:3 ratio, the width is 1 and the height is 3. Below is an image of what a rectangle with a 1:3 ratio looks like. Because the simplest form of the fraction 1/3 is 1/3, the simplest form of the ratio 1:3 is also 1:3. Do you need information about another relationship? Here you can send us another ratio for explanation. Go to the next ratio on our list that we have detailed information on.

Ratio of 4 to 24

:

1:6

2:12

3:18

4:24

5:30

6:36

7:42

8:48

9:54

10:60

11:66

12:72

:

A ratio of 4 to 24 can be written as 4 to 24, 4:24, or 4/24. Also, 4 and 24 can be the quantity or measure of anything like student, fruit, weight, height, speed and so on. A ratio of 4 to 24 simply means that for every 4 of something, there are 24 of something else, for a total of 28. In the box below, you can enter a number in either box, and we’ll calculate the other number to find the ratio of 4 to 24 to maintain. In other words, we calculate the corresponding 4:24 equivalent ratio for you. To calculate the left side of the ratio, our calculator multiplies the right side by 4, then divides the product by 24. To calculate the right side of the ratio, our calculator multiplies the left side by 24, then divides the product times 4. The Responses will be rounded to two decimal places if necessary. Below is a list of the 4:24 equivalent ratios that we created using our 4:24 ratio calculator above. We also made a pie chart for you to put 4:24 ratio in perspective. To do this, we divided a cake into 28 parts and then colored 4 parts green and 24 parts blue. The cake looks exactly the same at any equivalent ratio of 4:24. The green part of the pie covers 14.29% and the blue part covers 85.71%. To calculate the percentages, we divided each side of the ratio by their sum and then multiplied by 100, as follows: (4 / 28) × 100 ≈ 14.29 (24 / 28) × 100 ≈ 85.71 In fractions 4 /24 of the cake above is colored green. This means that the ratio of 4 to 24, or 4:24, can also be expressed as a fraction, where the 4 to the left of the colon is the numerator and the 24 to the right of the colon is the denominator:4:24 = The ratio 4/24 is used frequently used when defining rectangles in width:height format. Width and height can be feet, inches, centimeters, or any other type of length. For a 4:24 ratio, the width is 4 and the height is 24. Below is an image of what a rectangle with a 4:24 ratio looks like. Because the simplest form of the fraction 4/24 is 1/6, the simplest form of the ratio 4:24 is also 1:6. Do you need information about another relationship? Here you can send us another ratio for explanation. Go to the next ratio on our list that we have detailed information on.

Ratio of 4 to 8

:

1:2

2:4

3:6

4:8

5:10

6:12

7:14

8:16

9:18

10:20

11:22

12:24

:

A ratio of 4 to 8 can be written as 4 to 8, 4:8, or 4/8. Also, 4 and 8 can be the quantity or measure of anything like student, fruit, weight, height, speed and so on. A ratio of 4 to 8 simply means that for every 4 of something, there are 8 of something else, for a total of 12. In the box below, you can enter a number in either box, and we’ll calculate the other number to find the ratio of to maintain 4 to 8. In other words, we calculate the corresponding 4:8 equivalent ratio for you. To calculate the left side of the ratio, our calculator multiplies the right side by 4, then divides the product by 8. To calculate the right side of the ratio, our calculator multiplies the left side by 8, then divides the product times 4. The Responses will be rounded to two decimal places if necessary. Below is a list of the 4:8 equivalent ratios that we created using our 4:8 ratio calculator above. We also made a pie chart for you to enter 4:8 ratio perspective. To do this, we divided a cake into 12 parts and then colored 4 parts green and 8 parts blue. The cake looks exactly the same at any 4:8 ratio. The green part of the pie covers 33.33% and the blue part 66.67%. To calculate the percentages, we divided each side of the ratio by their sum and then multiplied by 100, as follows: (4 / 12) × 100 ≈ 33.33 (8 / 12) × 100 ≈ 66.67 Expressed as fractions 4/8 of the above cake is colored green. This means that the ratio of 4 to 8 or 4:8 can also be expressed as a fraction, where the 4 to the left of the colon is the numerator and the 8 to the right of the colon is the denominator:4:8 = The ratio 4/8 is used frequently used when defining rectangles in width:height format. Width and height can be feet, inches, centimeters, or any other type of length. For a 4:8 ratio, the width is 4 and the height is 8. Below is an image of what a rectangle with a 4:8 ratio looks like. Because the simplest form of the fraction 4/8 is 1/2, the simplest form of the ratio 4:8 is also 1:2. Do you need information about another relationship? Here you can send us another ratio for explanation. Go to the next ratio on our list that we have detailed information on.

Ratio of 3 to 5

:

3:5

6:10

9:15

12:20 p.m

15:25

18:30

21:35

24:40

27:45

30:50

33:55

36:60

:

A ratio of 3 to 5 can be written as 3 to 5, 3:5, or 3/5. In addition, 3 and 5 can be the quantity or measure of anything, such as student, fruit, weight, height, speed, and so on. A ratio of 3 to 5 simply means that for every 3 of something, there are 5 of something else, for a total of 8. In the box below, you can enter a number in either box, and we’ll calculate the other number to find the ratio of maintain 3 to 5. In other words, we calculate the corresponding 3:5 equivalent ratio for you. To calculate the left side of the ratio, our calculator multiplies the right side by 3, then divides the product by 5. To calculate the right side of the ratio, our calculator multiplies the left side by 5, then divides the product times 3. The Responses will be rounded to two decimal places if necessary. Below is a list of the equivalent 3:5 ratios that we created using our 3:5 ratio calculator above. We also made a pie chart for you to enter 3:5 ratio perspective. To do this, we divided a cake into 8 parts and then colored 3 parts green and 5 parts blue. The cake looks exactly the same at any 3:5 ratio. The green part of the cake covers 37.5% and the blue part covers 62.5%. To calculate the percentages, we divided each side of the ratio by its sum and then multiplied by 100, as follows: (3 / 8) × 100 = 37.5 (5 / 8) × 100 = 62.5 Expressed as fractions , 3/5 of the cake on top is colored green. This means that the ratio of 3 to 5 or 3:5 can also be expressed as a fraction, where the 3 to the left of the colon is the numerator and the 5 to the right of the colon is the denominator:3:5 = The 3/5 ratio becomes often used when defining rectangles in width:height format. Width and height can be feet, inches, centimeters, or any other type of length. For a 3:5 ratio, the width is 3 and the height is 5. Below is an image of what a rectangle with a 3:5 ratio looks like. Because the simplest form of the fraction 3/5 is 3/5, the simplest form of the ratio 3:5 is also 3:5. Do you need information about another relationship? Here you can send us another ratio for explanation. Go to the next ratio on our list that we have detailed information on.

Ratio of 32 to 60

:

8:15

4:30 p.m

24:45

32:60

40:75

48:90

56:105

64:120

72:135

80:150

88:165

96:180

:

A 32/60 ratio can be written as 32/60, 32/60, or 32/60. Also, 32 and 60 can be the quantity or measure of anything like student, fruit, weight, height, speed and so on. A ratio of 32 to 60 simply means that for every 32 of something, 60 comes from something else, for a total of 92. In the box below, you can enter a number in either box, and we’ll calculate the other number to find the ratio of 32 to 60 to maintain. In other words, we calculate the corresponding 32:60 equivalent ratio for you. To calculate the left side of the ratio, our calculator multiplies the right side by 32, then divides the product by 60. To calculate the right side of the ratio, our calculator multiplies the left side by 60, then divides the product by 32. The Responses will be rounded to two decimal places if necessary. Below is a list of the 32:60 equivalent ratios that we created using our 32:60 ratio calculator above. We also made a pie chart for you to put 32:60 ratio in perspective. To do this, we divided a cake into 92 parts and then colored 32 parts green and 60 parts blue. The cake looks exactly the same at a 32:60 equivalent ratio. The green part of the cake covers 34.78% and the blue part covers 65.22%. To calculate the percentages, we divided each side of the ratio by its sum and then multiplied by 100, as follows: (32/92)×100 ≈ 34.78(60/92)×100 ≈ 65.22 expressed as a fraction, 32 /60 of the cake above is colored green. This means that the ratio of 32 to 60 or 32:60 can also be expressed as a fraction, where the 32 to the left of the colon is the numerator and the 60 to the right of the colon is the denominator:32:60 = The ratio 32/60 is used frequently used when defining rectangles in width:height format. Width and height can be feet, inches, centimeters, or any other type of length. For a 32:60 ratio, the width is 32 and the height is 60. Below is an image of what a rectangle with a 32:60 ratio looks like. Because the simplest form of the fraction 32/60 is 8/15, the simplest form of the ratio 32:60 is also 8:15. Do you need information about another relationship? Here you can send us another ratio for explanation. Go to the next ratio on our list that we have detailed information on.

Ratio of 6 to 4

:

3:2

6:4

9:6

12:8

15:10

18:12

21:14

24:16

27:18

30:20

33:22

36:24

:

A 6 to 4 ratio can be written as 6 to 4, 6:4, or 6/4. Also, 6 and 4 can be the quantity or measure of anything like student, fruit, weight, height, speed and so on. A ratio of 6 to 4 simply means that for every 6 of something there is 4 of something else, for a total of 10. In the box below, you can enter a number in either box, and we’ll calculate the other number to find the ratio of to maintain 6 to 4. In other words, we calculate the corresponding 6:4 equivalent ratio for you. To calculate the left side of the ratio, our calculator multiplies the right side by 6, then divides the product by 4. To calculate the right side of the ratio, our calculator multiplies the left side by 4, then divides the product by 6. The Responses will be rounded to two decimal places if necessary. Below is a list of the equivalent 6:4 ratios that we created using our 6:4 ratio calculator above. We also made a pie chart for you to enter 6:4 ratio perspective. To do this, we divided a cake into 10 parts and then colored 6 parts green and 4 parts blue. The cake looks exactly the same at any 6:4 ratio. The green part of the cake covers 60% and the blue part 40%. To calculate the percentages, we divided each side of the ratio by its sum and then multiplied by 100, as follows: (6 / 10) × 100 = 60 (4 / 10) × 100 = 40 In fractional terms, 6/4 the cake on top is colored green. This means that the ratio of 6 to 4 or 6:4 can also be expressed as a fraction, where the 6 to the left of the colon is the numerator and the 4 to the right of the colon is the denominator:6:4 = The 6/4 ratio becomes often used when defining rectangles in width:height format. Width and height can be feet, inches, centimeters, or any other type of length. For a 6:4 ratio, the width is 6 and the height is 4. Below is an image of what a rectangle with a 6:4 ratio looks like. Because the simplest form of the fraction 6/4 is 3/2, the simplest form of the ratio 6:4 is also 3:2. Do you need information about another relationship? Here you can send us another ratio for explanation. Go to the next ratio on our list that we have detailed information on.

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relationship

definition

A ratio is a comparison of numbers or quantities.

A ratio of two numbers can be written as a fraction (or simply as a decimal), but it may not represent the same thing as a fraction. The denominator of a fraction ALWAYS represents the number of equal parts into which a whole is divided.

A ratio can compare numbers with the same or different units.

demonstration

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Example One (A three-term relationship)

The figure below shows a set of marbles. There are two red marbles, six green marbles and four blue marbles in the set.

The ratio of red marbles to green marbles to blue marbles could be expressed as 2 to 6 to 4

2:6:4 Note that the ratio 1 to 3 to 4 should correspond to the ratio 2 to 6 to 4, so 2:6:4 = 1:3:2.

Example 2 (A two-term relationship)

The figure below shows a set of marbles. There are two red marbles and four blue marbles in the set.

The ratio of red marbles to total marbles could be expressed as: 2 to 6

2:6

Note that the 2 to 6 ratio is the same as the 1 to 3 ratio, so 2:6 = 1:3.

Also note that a fraction is a number that stands for “part of something”. This ratio expresses the proportion of red marbles.

Example three (a two-term relationship)

The figure below shows a set of marbles. There are two red marbles and four blue marbles in the set.

The ratio of red marbles to blue marbles could be expressed as: 2 to 4

2:4

0.5 Note that the ratio 2 to 4 should correspond to the ratio 1 to 2, so 2:4 = 1:2.

Also note that a fraction is a number that stands for “part of something”. Although this ratio can be expressed as a fraction, in this case it does NOT represent “part of something”.

Example 4 (a two-term relationship)

Ratio of 12 to 12

:

1:1

2:2

3:3

4:4

5:5

6:6

7:7

8:8

9:9

10:10

11:11

12:12

:

A ratio of 12 to 12 can be written as 12 to 12, 12:12, or 12/12. In addition, 12 and 12 can be the quantity or measure of anything, such as student, fruit, weight, height, speed, and so on. A ratio of 12 to 12 simply means that for every 12 of something, there are 12 of something else, for a total of 24. In the box below, you can enter a number in either box, and we’ll calculate the other number to find the ratio of 12 to 12 to maintain. In other words, we calculate the corresponding 12:12 equivalent ratio for you. To calculate the left side of the ratio, our calculator multiplies the right side by 12, then divides the product by 12. To calculate the right side of the ratio, our calculator multiplies the left side by 12, then divides the product by 12. The Responses will be rounded to two decimal places if necessary. Below is a list of the equivalent ratios of 12:12 that we created using our 12:12 ratio calculator above. We also created a pie chart for you to put 12:12 ratio in perspective. To do this, we divided a cake into 24 parts and then colored 12 parts green and 12 parts blue. The cake looks exactly the same with any equivalent 12:12 ratio. The green part of the cake covers 50% and the blue part covers 50%. To calculate the percentages, we divided each side of the ratio by their sum and then multiplied by 100, as follows: (12 / 24) × 100 = 50 (12 / 24) × 100 = 50 In fractional terms, 12/12 the cake on top is colored green. This means that the ratio of 12 to 12, or 12:12, can also be expressed as a fraction, where the 12 to the left of the colon is the numerator and the 12 to the right of the colon is the denominator:12:12 = The ratio 12/12 is used frequently used when defining rectangles in width:height format. Width and height can be feet, inches, centimeters, or any other type of length. For a 12:12 ratio, the width is 12 and the height is 12. Below is a picture of what a rectangle with a 12:12 ratio looks like. Since the simplest form of the fraction 12/12 is 1/1, the simplest form of the ratio 12:12 is also 1:1. Do you need information about another relationship? Here you can send us another ratio for explanation. Go to the next ratio on our list that we have detailed information on.