Question

Lisa took $\frac{2}{3}$ hours to complete her homework on Monday and took $\frac{5}{6}$ hours to complete her homework on Tuesday. For how many hours in total did she work on her homework?

• A. $\frac{5}{6}$
• B. $\frac{9}{6}$
• C. $\frac{8}{5}$
• D. $\frac{9}{5}$

Answer 1

The correct option is B $\frac{9}{6}$

Time taken to complete the homework on Monday = $\frac{2}{3}$ h

Time taken to complete the homework on Tuesday = $\frac{5}{6}$ h

Total time taken on both the days
$=\frac{2}{3}+\frac{5}{6}$

We find that the LCM of denominators 3 and 6 is 6.

$\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$

So, we need to calculate:
$\frac{4}{6}+\frac{5}{6}$
$=\frac{4+5}{6}$
$=\frac{9}{6}$