Question

should be added to $\frac{3}{8}$ to get $\frac{-1}{24}$

• A. $\frac{31}{72}$
• B. $\frac{2}{23}$
• C. $\frac{-7}{23}$
• D. $\frac{-5}{12}$

Answer 1

The correct option is D $\frac{-5}{12}$

Let the number be $x.$
$\Rightarrow x+\frac{3}{8}=\frac{-1}{24}$

$\Rightarrow x=\frac{-1}{24}-\frac{3}{8}$

$\Rightarrow x=-(\frac{1}{24}+\frac{3}{8})$

$\Rightarrow x=-\left(\frac{1+9}{24}\right)$

$\Rightarrow x=-\left(\frac{10}{24}\right)$

$\Rightarrow x=-\left(\frac{5}{12}\right)$

$\Rightarrow x=\frac{-5}{12}$