John purchased 10 yards of fabric to make pillowcases. He needs 3/4 of a yard of fabric per pillowcase.  How many 3/4 yard pillowcases can he make? What operation is used? 

To determine how many pillowcases John can make, you need to divide the total amount of fabric by the amount of fabric required for each pillowcase.

- Total fabric: 10 yards
- Fabric per pillowcase: \( \frac{3}{4} \) yard

The operation used is division:

\[
\text{Number of pillowcases} = \frac{10}{\frac{3}{4}}
\]

Dividing by a fraction is the same as multiplying by its reciprocal. So, we rewrite it as:

\[
\text{Number of pillowcases} = 10 \times \frac{4}{3} = \frac{40}{3} = 13 \frac{1}{3}
\]

John can make 13 full pillowcases, and he will have \( \frac{1}{3} \) yard of fabric left.

### Operation used:
- Division by a fraction (which involves multiplying by the reciprocal).

Would you like more details or have any questions?

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Here are 5 related questions:
1. If John had 12 yards of fabric, how many pillowcases could he make?
2. What if John needed 1 yard per pillowcase, how many could he make?
3. How much fabric would be left if John made 12 pillowcases?
4. How many yards would John need to make 20 pillowcases?
5. If each pillowcase required \( \frac{2}{3} \) yard of fabric, how many could John make?

**Tip:** To divide by a fraction, multiply by its reciprocal.

John purchased 10 yards of fabric to make pillowcases. He needs 3/4 of a yard of fabric per pillowcase. How many 3/4 yard pillowcases can he make? What operation is used?

Discover how to solve a practical math problem where John has 10 yards of fabric and needs 3/4 yard per pillowcase. Learn how to divide by fractions and multiply by reciprocals to find out how many pillowcases he can make. Suitable for Grades 5-7.

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