Question

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Explanation:

Step1: Convert mixed number to improper fraction

Omar has \( 7\frac{2}{5} \) yards of ribbon. Convert \( 7\frac{2}{5} \) to an improper fraction: \( 7\frac{2}{5}=\frac{7\times5 + 2}{5}=\frac{35+2}{5}=\frac{37}{5} \) yards.

Step2: Divide total ribbon by ribbon per bow

Each bow needs \( \frac{3}{5} \) yard. To find the number of bows, divide \( \frac{37}{5} \) by \( \frac{3}{5} \). When dividing fractions, multiply by the reciprocal: \( \frac{37}{5}\div\frac{3}{5}=\frac{37}{5}\times\frac{5}{3}=\frac{37}{3} \approx 12.33 \).

Step3: Take the integer part

Since we need the number of complete bows, we take the integer part of \( \frac{37}{3} \), which is 12.

Answer:

12