Question

kevin needs \\(\frac{2}{3}\\) of a yard of fabric to make a pillow. he has \\(3\frac{1}{3}\\) yards of fabric. how many pillows can he make? \\(\bigcirc\\) a. \\(2\frac{2}{9}\\) \\(\bigcirc\\) b. \\(3\frac{2}{3}\\) \\(\bigcirc\\) c. 5 \\(\bigcirc\\) d. 6

Explanation:

Step1: Convert mixed number to improper fraction

$3\frac{1}{3} = \frac{3\times3 + 1}{3} = \frac{10}{3}$

Step2: Divide total fabric by fabric per pillow

$\frac{10}{3} \div \frac{2}{3} = \frac{10}{3} \times \frac{3}{2}$

Step3: Simplify the expression

$\frac{10 \times 3}{3 \times 2} = \frac{10}{2} = 5$

Answer:

C. 5