Question

Subtract '$\frac{2}{7}-\frac{5}{2}$' from the sum of $\frac{3}{4},\frac{1}{4}$ and $\frac{1}{2}$.

• A. $\frac{52}{7}$
• B. $\frac{26}{14}$
• C. $\frac{26}{7}$
• D. $\frac{1}{2}$

Answer 1

The correct option is C

$\frac{26}{7}$

$\frac{2}{7}-\frac{5}{2}=\frac{4-35}{14}=\frac{-31}{14}$

Now, $\frac{3}{4}+\frac{1}{4}+\frac{1}{2}$ = $\frac{3+1+2}{4}=\frac{3}{2}$

Subtracting , we have

$\frac{3}{2}-\left(\frac{-31}{14}\right)$ = $\frac{21+31}{14}$ = $\frac{52}{14}$ =$\frac{26}{7}$