Question

Which pair of fractions is not equivalent fractions? 1/9,2/187/8,5/63/16, 9/486/15, 4/10

Answer 1

7/8,5/6

Explanation:

Two fractions are equivalent when their division is equal to one.

When we are dividing fractions, we multiply the numerator by the inverse of the denominator.

1/9,2/18

`((1)/(9))/((2)/(18))=(1)/(9)\ast(18)/(2)=(1\ast18)/(9\ast2)=(18)/(18)=1`

7/8,5/6

`((7)/(8))/((5)/(6))=(7)/(8)\ast(6)/(5)=(7\ast6)/(8\ast5)=(42)/(40)`

The division is not 1, so this par of fractions is not equivalent.

3/16, 9/48

`((3)/(16))/((9)/(48))=(3)/(16)\ast(48)/(9)=(3\ast48)/(16\ast9)=(144)/(144)=1`

6/15, 4/10​

`((6)/(15))/((4)/(10))=(6)/(15)\ast(10)/(4)=(6\ast10)/(15\ast4)=(60)/(60)=1`