To determine how many dance classes it takes for a student to learn a dance routine, we can divide the total hours it takes to learn the routine by the length of each dance class.
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Convert the time values to fractions or improper fractions:
- The time for each class is \( \frac{3}{4} \) hour.
- The total time to learn the routine is \( 7 \frac{1}{2} = \frac{15}{2} \) hours.
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Calculate the number of classes needed: \[ \text{Number of classes} = \frac{\text{Total time to learn routine}}{\text{Time per class}} = \frac{\frac{15}{2}}{\frac{3}{4}} \]
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Dividing fractions: Dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{\frac{15}{2}}{\frac{3}{4}} = \frac{15}{2} \times \frac{4}{3} = \frac{15 \times 4}{2 \times 3} = \frac{60}{6} = 10 \]
Thus, the student needs 10 dance classes to learn the routine.
Statement: It is true that the student requires 10 classes to learn the dance routine.
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