Question

$5\frac{6}{8}÷\frac{5}{6}=?$

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

$5\frac{6}{8}$ needs to be converted into an improper fraction = $\frac{46}{8}$
$\frac{46}{8}$ can be reduced further. The HCF of 46 and 8 is 2.

$\therefore$ $\frac{46}{8}$ can be written as $\frac{23}{4}$
The problem now looks like:
= $\frac{23}{4}÷\frac{5}{6}$

This can also be written as:
= $\frac{23}{4}\times \frac{6}{5}$
Since 2 is the common factor between 4 and 6:
= $\frac{23}{\text{/}{4}_2}\times \frac{{}^3\text{/}6}{5}$ =$\frac{69}{10}$
= $6\frac{9}{10}$