Question

Emma studied math and played hockey for $\frac{8}{11}$ of an hour. How long did she study if she played hockey for $\frac{3}{11}$ hour?

• A. $\frac{3}{11}$ of an hour
• B. $\frac{11}{11}$ of an hour
• C. $\frac{5}{11}$ of an hour
• D. $\frac{7}{11}$ of an hour

Answer 1

The correct option is C $\frac{5}{11}$ of an hour

Total time spent for studying and playing $=\frac{8}{11}$ of an hour

Time spent for playing hockey $=\frac{3}{11}$ of an hour

So, time spent for studying $=\text{Total time spent for studying and playing}-\text{Time spent for playing hockey}$
$=\frac{8}{11}-\frac{3}{11}$

To subtract like fractions, subtract the numerators, put that answer over the common denominator.
$=\frac{8-3}{11}$

$=\frac{5}{11}$

So, time spent for studying is $\frac{5}{11}$ of an hour.