Question

Find the difference:
$\frac{7}{6}-\frac{1}{15}$

• A. $1\frac{1}{10}$
• B. $1\frac{3}{10}$
• C. $\frac{9}{10}$
• D. $\frac{7}{10}$

Answer 1

The correct option is A

$1\frac{1}{10}$

To find the value of $\frac{7}{6}-\frac{1}{15}$, we have to find the LCM od 6 and 15.
$\begin{array}{cc}2& 6,15\\ 3& 3,15\\ 5& 1,5\\ & 1,1\end{array}$
LCM of 6 and 15 $=2\times 3\times 5=30$

$\frac{7}{6}-\frac{1}{15}$ $=\frac{7\times 5}{6\times 5}-\frac{1\times 2}{15\times 2}=\frac{35}{30}-\frac{2}{30}=\frac{35-2}{30}=\frac{33}{30}=1\frac{3}{30}=1\frac{1}{10}$