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Multiply the time spent in one guitar class, 1 34 hour, by the number of classes in a week, 3.
42 hours
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.
a bc=a* c+b/c
a=a/1
Multiply fractions
Multiply
Write as a sum
Write as a sum of fractions
Calculate quotient
Add terms
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.
a=a/1
Multiply fractions
a/b=.a /4./.b /4.
Multiply
a/1=a
The result tells us that Ben will have spent 42 hours in guitar classes after 8 weeks.