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 $\frac{6}{8}=\frac{9}{12}$.

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

$6 \times 12 = 9 \times 8$

$72 = 72$

Therefore, they are equal.

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

$\frac{6}{8} =\frac{3}{4}$

And

$\frac{9}{12}=\frac{3}{4}$

Since both the fractions reduced to $\frac{3}{4}$, therefore fractions are equivalent.