Question

In what situation can you use only multiplication to find equivalent fractions to a given fraction given example?

Answer 1

Equivalent fraction are the fractions whose simplest term is equal to simplest term of original fraction.

Equivalent fraction can be find using multiplication operation or division operation on numerator and denominator by same no.

⇒ Multiplication is used when we are given with a fraction and we need to find an equivalent fraction whose numerator and denominator is greater than given fraction.

For example,

Given fraction is
`(4)/(8)`

If we need to find equivalent fraction whose denominator is 64 then we use multiplication operation.

∵ Since Denominator of given fraction is 8 and denominator of equivalent fraction is 64. ⇒ we need to multiply 8 with 8 to get 64

So, if we multiply both numerator and denominator by 8 we get an equivalent fraction with denominator 64

`(4*8)/(8*8)\:=\:(32)/(64)`

Answer 2

To find equivalent fractions, multiply the numerator AND denominator by the same nonzero whole number. This procedure is used to solve example 4. You can multiply the numerator and the denominator of a fraction by any nonzero whole number, as long as you multiply both by the same whole number! Hope this helped! :)