# How to Find Fractions Between Two Fractions?

5/5 - (1 vote)

## How to Find Fractions Between Two Fractions?

There are infinite fractions between two fractions. If you are asked to find out 3 or 5 fractions between two fractions you can use the following method. You can repeat this method to find more and more fractions between two given fractions. `Example: What fraction is between 5/6 and 7/9?`

## Find Fractions Between Two Fractions

### #1 Write Out the Starting Fractions

Obtain two fractions for example purposes. For this example, let the fractions be 5/6 and 7/9.

Fractions : 5/6 and 7/9

### #2 Add the Numerators Together

Sum the fractions’ numerator. In this example,

5 + 7 = 12

### #3 Add the Denominators Together

Sum the fraction’s denominators. In this example,

6 + 9 = 15

### #4 Write a New Fraction

Write a new fraction with the numerators’ sum as the new numerator and the denominators’ sum as the new denominator. In this example,

The new fraction is 12/15.

### #5 Simplify the Fraction

Simplify the fraction by eliminating the greatest common factor shared by the numerator and denominator. To do this, list the factors of each number and factor out the largest shared number.

In this case,

The factors of 12 are 1, 2,2,3 and 12, and the factors of 15 are 1, 3, 5 and 15. Both numbers have 1 and 3 as factors, with 3 being the greatest factor.

Eliminating 2 from both the numerator and denominator results in (12 ÷ 3) / (15 ÷ 3), which becomes 4/5