Question

divide the fractions and reduce to lowest terms. (enter your answer as a simplified mixed number.)
$5 \div \frac{2}{7}$
brecmbc9 2.111.022.

Explanation:

Step1: Recall fraction division rule

To divide by a fraction, multiply by its reciprocal. So, \(5\div\frac{2}{7}=5\times\frac{7}{2}\).

Step2: Multiply the integer and fraction

\(5\times\frac{7}{2}=\frac{5\times7}{2}=\frac{35}{2}\).

Step3: Convert to mixed number

Divide 35 by 2. \(35\div2 = 17\) with a remainder of 1. So, \(\frac{35}{2}=17\frac{1}{2}\).

Answer:

\(17\frac{1}{2}\)