Question

What number should be added to $\frac{-5}{8}$ so as to get $\frac{-3}{2}$?

Answer 1

Determine the number which will be added to $\frac{-5}{8}$ to get $\frac{-3}{2}$.

Let the number be $a$

According to the question, $a+\left(\frac{-5}{8}\right)=\frac{-3}{2}$.

Solve the above equation is as follows:

$a+\left(\frac{-5}{8}\right)=\frac{-3}{2}$

$$\begin{gathered} a-\frac{5}{8}=\frac{-3}{2} \\ \Rightarrow a=\frac{-3}{2}+\frac{5}{8} \\ \Rightarrow a=\frac{-12+5}{8} \\ \therefore a=\frac{-7}{8} \end{gathered}$$

Hence, the required number is $\frac{-7}{8}$.