Question

Find the sum:
$\frac{9}{14}+\frac{8}{12}$

• A. $\frac{51}{42}$
• B. $1\frac{13}{42}$
• C. $1\frac{11}{42}$
• D. $\frac{53}{42}$

Answer 1

The correct option is B

$1\frac{13}{42}$

To find the value of $\frac{9}{14}+\frac{8}{12}$, first we have to find the LCM of 14 and 12.
$\begin{array}{cc}2& 14,12\\ 2& 7,6\\ 3& 7,3\\ 7& 7,1\\ & 1,1\end{array}$

LCM of 14 and 12 $=2\times 2\times 3\times 7=84$

$\frac{9}{14}+\frac{8}{12}$ $=\frac{9\times 6}{14\times 6}+\frac{8\times 7}{12\times 7}=\frac{54+56}{84}=\frac{110}{84}=1\frac{26}{84}=1\frac{13}{42}$