Question

dessert: select two probl each costume for the school show needs 3\frac{1}{5} yards of material. how many costumes can be made from 30 yards of material?

Explanation:

Step1: Convert mixed number to improper fraction

The material needed per costume is \(3\frac{1}{5}\) yards. Convert this mixed number to an improper fraction: \(3\frac{1}{5}=\frac{3\times5 + 1}{5}=\frac{16}{5}\) yards.

Step2: Divide total material by material per costume

We have 30 yards of total material. To find the number of costumes, divide 30 by \(\frac{16}{5}\). When dividing by a fraction, we multiply by its reciprocal: \(30\div\frac{16}{5}=30\times\frac{5}{16}=\frac{150}{16}=\frac{75}{8} = 9.375\). Since we can't make a fraction of a costume, we take the whole number part.

Answer:

9