Ratio to Fraction Calculator

Convert any ratio to its fraction equivalent with a single click. Enter both parts of the ratio to get the accurate answer in simplest form. A ratio and a fraction both represent the relationship between numbers.

How to Convert a Ratio to a Fraction?

A ratio can either be a part-to-whole ratio or a part-to-part ratio. This calculator can find both. However, before using it, we will explain how to convert a ratio to a fraction.

Convert a Part-to-Whole Ratio to a Fraction

A part-to-whole ratio describes how much of an item there is in comparison to the total item. For example, the number of mangoes in a basket of different fruits could be analyzed using a part-to-whole ratio.

In this case, the numerator represents the value that is part of the whole, while the denominator represents the value of the whole. If the fraction can be simplified, then it is also allowed.

Example

For example, let’s convert 1:3 to a fraction.

1:3 = 1/3 as a fraction

Convert a Part-to-Part Ratio to a Fraction

The part-to-part ratio explains the relationship between two different subsets of a given set. For example, the relationship of the number of apples to the number of bananas in a basket containing only apples and bananas. This can be described in terms of a part-to-part ratio.

To convert a part-to-part ratio into fractions, first add both parts to get the total. This total becomes the denominator. Then place each part of the ratio over the total to form two fractions. Each fraction shows how much each part is of the whole.

Solved Example

For example, let’s convert the ratio of 2 apples to 5 bananas in a fruit basket, or 2:5, to fractions.

First, find the denominator.

denominator = 2 + 5

denominator = 7

Then, put each part of the ratio over the denominator to find the fractions.

Apples = 2 / 7

bananas = 5 / 7

Thus, 2 / 7 of the fruit in the basket is apples, and 5 / 7 of the fruit in the basket is bananas.

Why Convert Ratios to Fractions?

Converting ratios into fractions can help with many things

• Math operations: Fractions have clear rules for addition, subtraction, multiplication, and division operations.
• Solving: Most word problems or equations are easier to interpret and solve with fractions.
• Different fields: Almost every field, whether it is education, finance, science, or just everyday life, uses fractions instead of ratios for solving problems.
• Comparing: It is easier to compare data represented by fractions.
• Graphing: Fractions are especially useful for pie charts and other visual data representations.

Is there a cost to use the ratio to fraction calculator?

No, Countivia’s calculators are free to use and don’t charge for any hidden features or require account signups.

Will the calculator reduce the fraction?

Yes, the calculator finds the greatest common factor and reduces the fraction for you.

Is a decimal allowed in a ratio?

Yes, a decimal is allowed, and the calculator will do the calculations for you and give you a proper, whole-number fraction.

Can the ratio be changed back to a whole number?

Yes, a fraction can be converted into a ratio. For example, 1/5 as a fraction can be stated as a ratio of 3: 4.

What is the purpose of simplifying fractions?

When fractions are simplified, they are easier to read, and this will help when it comes to solving and using them in future equations.

Is this tool appropriate for students in school?

Definitely. It is in complete accordance with the middle school and high school math curriculum in the USA.