Question

Simplify :

$(\frac{3}{2}\times \frac{1}{6})+(\frac{5}{3}\times \frac{7}{2})-(\frac{13}{8}\times \frac{4}{3})$

• A. $\frac{47}{12}$
• B. $\frac{49}{18}$
• C. $\frac{47}{13}$
• D. $\frac{57}{15}$

Answer 1

The correct option is A $\frac{47}{12}$

$(\frac{3}{2}\times \frac{1}{6})+(\frac{5}{3}\times \frac{7}{2})-(\frac{13}{8}\times \frac{4}{3})$

$=\frac{1}{4}+\frac{35}{6}-\frac{13}{6}$

$=\frac{3+70-26}{12}=\frac{47}{12}$