Question

Alyssa said that 6/8 and 9/12 are not equivalent because there's no whole number you can multiply both parts of 6/8 by to get 9/12. Is she correct? Explain.

Answer 1

Answer:

           No , she is not correct.

Step-by-step explanation:

We are given two fractions as:

                          6/8 and 9/12.

Now when we multiply the numerator and denominator of 6/8 by 3 we have:

$\dfrac{6}{8}\times \dfrac{3}{3}=\dfrac{18}{24}$

and when we multiply the numerator and denominator of 9/12 by 2 we have:

$\dfrac{9}{12}\times \dfrac{2}{2}=\dfrac{18}{24}$

Hence, we get that both the fractions are equivalent.

Since by multiplying the numerator and denominator of both the fractions by some whole number we get that the two fractions are equal.

Answer 2

No. 6/8=9/12
by multiplying the denominators you get the common denominator of 72
then multiply each numerator by the number of the opposite denominator
8x12=96
6x12=72
9x8=72
Therefore, 72/96=72/96
                   (6/8   = 9/12)