Question

a person wants to make 4 wreaths to sell at the craft fair. each wreath needs $3\frac{1}{4}$ yards of ribbon. how many yards of ribbon does the person need to make all the wreaths? the person needs \\(\square\\) yards of ribbon (simplify your answer.)

Explanation:

Step1: Convert mixed number to improper fraction

The length of ribbon for each wreath is \( 3\frac{1}{4} \) yards. To convert the mixed number to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 3\frac{1}{4}=\frac{3\times4 + 1}{4}=\frac{13}{4} \) yards.

Step2: Multiply by the number of wreaths

We need to find the total ribbon for 4 wreaths. So we multiply the length per wreath by 4: \( \frac{13}{4}\times4 \). The 4 in the numerator and denominator cancels out, giving \( 13 \).

Answer:

13