Question

question 6 of 25
mr. k’s math class is $1\frac{1}{3}$ hours long. after working problems on the board for 45 minutes ($\frac{3}{4}$ hour), he gave the students the rest of the class period to work on homework. how long did students have to work on homework? write your answer in simplest form.

a. $\frac{2}{3}$ hour

b. $\frac{5}{6}$ hour

c. $\frac{7}{12}$ hour

d. $\frac{1}{2}$ hour

Explanation:

Step1: Convert mixed number to fraction

$1\frac{1}{3} = \frac{4}{3}$ hour

Step2: Find common denominator

$\frac{4}{3} = \frac{16}{12}$, $\frac{3}{4} = \frac{9}{12}$

Step3: Subtract time spent

$\frac{16}{12} - \frac{9}{12} = \frac{7}{12}$ hour

Answer:

C. $\frac{7}{12}$ hour