Question

Each dance class is 3/4 hour. It takes a student 7 1/2 hours to learn a dance routine. Which statement is true

Answer 1

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.

1. **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.

2. **Calculate the number of classes needed**:
\[
\text{Number of classes} = \frac{\text{Total time to learn routine}}{\text{Time per class}} = \frac{\frac{15}{2}}{\frac{3}{4}}
\]

3. **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.