Question

What number must we multiply by $-\frac23$ to get a product of $\frac34$?

Answer 1

Let x be unknown number. If number x is multiplied by
`-(2)/(3)` and the product is equal to
`(3)/(4),` then

`x\cdot \left(-(2)/(3)\right)=(3)/(4).`

To find x you should divide
`(3)/(4)` by
`-(2)/(3):`

`x=((3)/(4))/(-(2)/(3))=(3)/(4)\cdot \left(-(3)/(2)\right)=-(3\cdot 3)/(4\cdot 2)=-(9)/(8).`

Answer:
`x=-(9)/(8)`