Question

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

• A. $\frac{9}{11}$
• B. $\frac{4}{11}$
• C. $\frac{6}{11}$
• D. $\frac{5}{11}$

Answer 1

The correct option is D $\frac{5}{11}$

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, the time spent for studying
$=$ Total time spent for studying and playing $-$ Time spent for playing hockey
$=\frac{8}{11}-\frac{3}{11}$ (like fractions)

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

$=\frac{5}{11}$

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