Glencoe Math: Course 1, Volume 1
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Glencoe Math: Course 1, Volume 1 View details
4. Multiply Mixed Numbers
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Exercise 28 Page 288

Multiply the time spent in one guitar class, 1 34 hour, by the number of classes in a week, 3.

42 hours

Practice makes perfect
We are told that Ben is taking guitar classes three times a week for 8 weeks. Each class will last 1 34 hours. We want to determine how many hours Ben will have spent in guitar classes after 8 weeks. Let's start with finding the amount of time he will have spent in class after 1 week. To do so, we need to multiply the time spent in one guitar class, 1 34 hour, by the number of classes in a week, 3. 1 34* 3 Before we calculate this product, we need to write the mixed number as an improper fraction. Recall that when we write a mixed number as a fraction, the denominator stays the same. 1 3 4=1* 4 + 3/4=7/4 To find the product, we will write the whole number as a fraction. Then we will multiply the numerators and the denominators of the fractions separately. Let's do it!
1 34* 3
7/4* 3
7/4* 3/1
7* 3/4* 1
21/4
â–Ľ
Write fraction as a mixed number
20+1/4
20/4+1/4
5+1/4
5 14
We found that Ben will have spent 214, or 5 14, hours in guitar class after 1 week. We know that he plans to attend the class for 8 weeks, so let's multiply our answer by 8. The result will correspond to the time Ben will have spent in guitar class after 8 weeks. To make our job easier, we will use the improper fraction 214 instead of the mixed number.
21/4* 8
21/4* 8/1
21* 8/4* 1
21* 2/1* 1
42/1
42
The result tells us that Ben will have spent 42 hours in guitar classes after 8 weeks.