Question

By what rational number should the product of 9/7 and -35/6 be divided to get 3/5?

Answer 1

`x=-105/6=-35/2`

Explanation:

Let's call the rational number to divide by `x`. This means we can put up the following equation:

`(9/5*-35/6)/x=3/5`

First, we multiply both sides by `x`:
`(9/5*-35/6)/cancelx*cancelx=3/5*x`

`9/5*-35/6=3/5x`

Combine the fractions on the left:
`-315/30=3/5x`

`-21/2=3/5x`

Multiply both sides by `5 \/ 3`:
`-21/2*5/3=x*cancel(3/5*5/3)`

`x=-21/2*5/3=-105/6=-35/2`