using examples, explain why multiplying...

Question

Using examples, explain why multiplying the numerator and denominator of the same fraction produces an equivalent fraction. 

Answer 1

2/3 * 2/2 = 4/6

 

2/3 = 4/6     Cross multiply to show equivalence

 

12 = 12

 

Multiplying by a version of 1 changes any fraction into an equivalent fraction

 

2/3 * 3/3 = 6/9

 

2/3 = 6/9

 

18 = 18