Question

Alyssa said that 6/8 and 9/12 are not equivalent because there is no whole number you can multiply both part of 6/8 by to get 9/12. is this correct

Answer 1

Solution: Alyssa is incorrect.

In fact
`(6)/(8)=(9)/(12)`.

If we cross-multiply the above equation, we have:

`6 * 12 = 9 * 8`

`72 = 72`

Therefore, they are equal.

Also, if we reduce the given fractions, we have:

`(6)/(8) =(3)/(4)`

And

`(9)/(12)=(3)/(4)`

Since both the fractions reduced to
`(3)/(4)`, therefore fractions are equivalent.