Question

What should be subtracted from $\frac{-4}{5}$ to get 1?

Answer 1

Step 1: Finding equations by using given conditions
Let, the required rational number be x.
Given, one of the other numbers $=\frac{-4}{5}.$
According to the question,
Subtract x from $\frac{-4}{5}$ to get 1.
$-\frac{4}{5}-x=\mathrm{1...}\left(1\right)$

Step 2: Solving equation to get required number
From (i),
$x=\frac{-4}{5}-\frac{1\times 5}{1\times 5}\Rightarrow x=\frac{-4-5}{5}=\frac{-9}{5}.$
Hence, $\frac{-9}{5}$ should be subtracted from $\frac{-4}{5}$ to get 1.