Question

Drag each equation to its equivalent fact.

Answer 1

Answer: They all go into (3/2)/(4/5) = n

Step-by-step explanation:

First Blue Box n = 4/5 / 2/3 = 4/5 * 3/2 = 3/5

Second Blue Box n = 3/2 / 4/5 = 3/2 * 5/4 = 15/8

Plug in n for the 3 smaller boxed equations

Answer 2

Answer:

$\frac{4}{5} \times n = \frac{3}{2}$ matches $\frac{3}{2} \div \frac{4}{5} = n$

$\frac{4}{5}=n \times \frac{2}{3}$ and $\frac{2}{3} \times n= \frac{4}{5}$ matches $\frac{4}{5} \div \frac{2}{3}=n$

Step-by-step explanation:

$\frac{4}{5} \times n = \frac{3}{2}$ matches $\frac{3}{2} \div \frac{4}{5} = n$, beacuse the fraction 4/5 is multiplying the variabel, so we need to move it to the other side of the equality but we the opposite operation, division.

$\frac{4}{5}=n \times \frac{2}{3}$ and $\frac{2}{3} \times n= \frac{4}{5}$, these two are the same equation, which matches $\frac{4}{5} \div \frac{2}{3}=n$, because 2/3 is multiplying the variable, and must be passed to the other side of the equality as division.