Question

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Answer 1

We obtain equivalent fractions by multiplying both numerator and denominator by one constant:

Explanation:

Equivalent fractions are fractions that represent the same quantity. We obtain equivalent fractions by multiplying both numerator and denominator by one constant:

`(a)/(b)=(a*n)/(b*n)\\`

For instance, in this case, we have these equivalent fractions for n=2,and n=3:

`(1*2)/(2*2)=(2)/(4)\\(1*3)/(2*3)=(3)/(6)`

So, if we place any given constant and multiply both numerator and denominator then we have equivalent fractions.