To determine how many backpacks Manuel can make, we need to divide the total amount of fabric he has by the amount of fabric each backpack requires.
Manuel has 8 yards of fabric, and each backpack uses \( \frac{2}{3} \) yard of fabric.
The number of backpacks he can make is calculated as follows:
\[ \text{Number of backpacks} = \frac{\text{Total fabric}}{\text{Fabric per backpack}} = \frac{8 \text{ yards}}{\frac{2}{3} \text{ yard/backpack}} \]
To divide by a fraction, we can multiply by its reciprocal:
\[ \frac{8}{\frac{2}{3}} = 8 \times \frac{3}{2} = \frac{8 \times 3}{2} = \frac{24}{2} = 12 \]
Thus, Manuel can make 12 backpacks.
3 answers