# Sue is learning to ski and her lessons are 1/4, 1/2 " or " 3/4 of an hour long. How many hours of coaching has she had if she had fourteen lessons of 1/4 hour, 9 of 1/2 hour and 7 of 3/4 hour?

Oct 4, 2016

$13 \frac{1}{4}$ hours

#### Explanation:

Multiply the number of lessons by the length of time for each lesson.
Many people like to write all the numbers as fractions. $14 = \frac{14}{1}$

$\frac{14}{1} \times \frac{1}{4} + \frac{9}{1} \times \frac{1}{2} + \frac{7}{1} \times \frac{3}{4} \text{ } \leftarrow$ simplify if possible

${\cancel{14}}^{7} / 1 \times \frac{1}{\cancel{4}} ^ 2 + \frac{9}{1} \times \frac{1}{2} + \frac{7}{1} \times \frac{3}{4}$

=$\frac{7}{2} + \frac{9}{2} + \frac{21}{4}$

=$3 \frac{1}{2} + 4 \frac{1}{2} + 5 \frac{1}{4}$

=$13 \frac{1}{4}$ hours