Question

mp analyze a problem what do you know?

1. your goal is to exercise for 15 hours this month. you exercise for $3\frac{1}{2}$ hours the first week and $3\frac{3}{4}$ hours the next week. how many more hours do you need to exercise to reach your goal?

apter 8 | lesson 8

Explanation:

Step1: Convert mixed numbers to fractions

$3\frac{1}{2} = \frac{7}{2}$, $3\frac{3}{4} = \frac{15}{4}$

Step2: Add the two exercise times

$\frac{7}{2} + \frac{15}{4} = \frac{14}{4} + \frac{15}{4} = \frac{29}{4}$

Step3: Subtract total exercised from goal

$15 - \frac{29}{4} = \frac{60}{4} - \frac{29}{4} = \frac{31}{4}$

Step4: Convert back to mixed number

$\frac{31}{4} = 7\frac{3}{4}$

Answer:

$7\frac{3}{4}$ hours