Question

Find the difference:
$\frac{13}{8}-\frac{7}{12}$

• A. $1\frac{5}{24}$
• B. $\frac{27}{24}$
• C. $\frac{26}{24}$
• D. $1\frac{1}{24}$

Answer 1

The correct option is D

$1\frac{1}{24}$

$\frac{13}{8}-\frac{7}{12}$
LCM of 8 and 12,
$\begin{array}{cc}2& 8,12\\ 2& 4,6\\ & 2,3\end{array}$
LCM $=2\times 2\times 2\times 3=24$

$\frac{13}{8}-\frac{7}{12}$ $=\frac{13\times 3}{8\times 3}-\frac{7\times 2}{12\times 2}=\frac{39-14}{24}=\frac{25}{24}=1\frac{1}{24}$