Question

If we subtract $\frac{1}{2}$ from and multiply the result by $\frac{1}{2}$, we get $\frac{3}{8}$.

• A. 1
• B. 2
• C. 1.25
• D. 1.5

Answer 1

The correct option is C 1.25

Let the number be $y$.
Then, $(y-\frac{1}{2})\times \left(\frac{1}{2}\right)=\left(\frac{3}{8}\right)$
Using distributivity of multiplication over subtraction, we get
$(\frac{y}{2}-\frac{1}{4})=\left(\frac{3}{8}\right)$

$\frac{y}{2}=\frac{3}{8}+\frac{1}{4}=\frac{3}{8}+\frac{2}{8}=\frac{5}{8}\Rightarrow y=\frac{5}{4}=1.25$