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

Respuesta :

Solution: Alyssa is incorrect.

In fact [tex]\frac{6}{8}=\frac{9}{12}[/tex].

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

[tex]6 \times 12 = 9 \times 8[/tex]

[tex]72 = 72[/tex]

Therefore, they are equal.

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

[tex]\frac{6}{8} =\frac{3}{4}[/tex]

And

[tex]\frac{9}{12}=\frac{3}{4}[/tex]

Since both the fractions reduced to [tex]\frac{3}{4}[/tex], therefore fractions are equivalent.