# Raising Fractions to Higher Terms

To raise a fraction to higher term,  first you divide the larger denominator by them smaller denominator and then multiply both the numerator and denominator by the same number, as a result that will give a new denominator.

Example

Raise 1/4 into an equivalent fraction  with a denominator of 24

Solution

Divide divide the larger denominator 24 by the smaller denominator 4

24÷ 4 = 6

Then multiply the numerator of the fraction 1 by the newly found number of the denominator 6:

1 X 6 = 6 (new numerator)

Take the old denominator which 4 and multiply it by 6

4 x 6 = 24 (new denominator)

Hence:

Example

Change 5/8 to an equivalent fraction with a denominator of 32

Solution

Divide divide the larger denominator 32 by the smaller denominator 8

32 ÷ 8 = 4

Then multiply the numerator of the fraction 5 by the newly found number of the denominator 4:

5 x 4 = 20

Take the old denominator which 4 and multiply it by 8

4 x 8 = 32

Hence:

Multiplying the numerator and the denominator of any fraction by the same number does not change its value. Because you’re multiplying the numerator and denominator by the same number, you’re essentially multiplying the fraction by a fraction that equals 1.