Question

Simplify the expression:
$(\frac{11}{7}\times \frac{3}{8})-(\frac{4}{7}\times \frac{1}{2})$

• A. $\frac{11}{56}$
• B. $\frac{17}{56}$
• C. $\frac{56}{17}$
• D. $\frac{56}{11}$

Answer 1

The correct option is B $\frac{17}{56}$

$\left(\frac{11\times 3}{7\times 8}\right)-\left(\frac{4\times 1}{7\times 2}\right)$

$=\frac{33}{56}-\frac{2}{7}$

$=\frac{33-2\times 8}{56}$

$(\because \text{LCM of 56 and 7 = 56})$

$=\frac{33-16}{56}$

$=\frac{17}{56}$