How to find equivalent fractions using multiplication?

Expert Answers
mathace eNotes educator| Certified Educator

If you are given a fraction you can find an equivalent fraction by multiplying the numerator and denominator by the same number.

Example 1: If you are given the fraction 1/2. You can multiply the numerator by a 3 and the denominator by a 3.

`1/2=(1*3)/(2*3)=3/6`

This means that 1/2 and 3/6 are equivalent fractions.

Example 2: If you are given the fraction 3/5. You can multiply the numerator by a 2 and the denominator by a 2.

`3/5=(3*2)/(5*2)=6/10`

This means that 3/5 and 6/10 are equivalent fractions.

user7582925 | Student

To find an equivalent fractionby using multiplication, all you have to do is multiply both the numerator and the deniminator (top/bottom) by the same number.  For example 3/4 3x2/4x2 is equal to 6/8