Question

What must be multiplied to -4/9 to get 1/2?

Answer 1

Let the number be x

-4/9 × x = 1/2
x = 1/2 × -9/4 = -9/6 = -3/2

Answer 2

$\frac{-4}{9}$ × ___ = $\frac{1}{2}$
Let us assume the value as "z"
⇒ $\frac{-4}{9}$ × z = $\frac{1}{2}$
⇒ z = $\frac{1}{2}$ ×  $\frac{-9}{4}$ 
⇒ $\frac{-3}{2}$  
∴ the number to be multiplied by is $\frac{-3}{2}$