Question

sydney has $1\frac{1}{5}$ yards of ribbon to make bows. each bow is made from a piece of ribbon that is $\frac{2}{5}$ yard long. how many bows can sydney make?
answer attempt 1 out of 2
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mixed number

Explanation:

Step1: Convert mixed number to improper fraction

Sydney has \(1\frac{1}{5}\) yards of ribbon. Convert \(1\frac{1}{5}\) to an improper fraction: \(1\frac{1}{5}=\frac{1\times5 + 1}{5}=\frac{6}{5}\) yards.

Step2: Divide total ribbon by ribbon per bow

Each bow needs \(\frac{2}{5}\) yard. To find the number of bows, divide \(\frac{6}{5}\) by \(\frac{2}{5}\). When dividing fractions, multiply by the reciprocal: \(\frac{6}{5}\div\frac{2}{5}=\frac{6}{5}\times\frac{5}{2}\).

Step3: Simplify the multiplication

Simplify \(\frac{6}{5}\times\frac{5}{2}\). The 5s cancel out, leaving \(\frac{6}{2}=3\).

Answer:

3