Question

Simplified value of $2\frac{1}{2}+3\frac{5}{7}\times \frac{3}{13}-\frac{1}{2}÷4$ is

• A. $\frac{188}{56}$
• B. $-\frac{181}{56}$
• C. $-3\frac{13}{56}$
• D. $3\frac{13}{56}$

Answer 1

The correct option is D $3\frac{13}{56}$

$2\frac{1}{2}+3\frac{5}{7}\times \frac{3}{13}-\frac{1}{2}÷4$

$=\frac{5}{2}+\frac{26}{7}\times \frac{3}{13}-\frac{1}{2}÷4$

$=\frac{5}{2}+\frac{6}{7}-\frac{1}{8}$

$=\frac{47}{14}-\frac{1}{8}$

$=\frac{181}{56}$

$=3\frac{13}{56}$

So, correct answer is option D.