Question

complete the first step of finding the quotient. rename the mixed number as an improper fraction.
\\(2\frac{1}{2}\div1\frac{1}{3}=\frac{?}{2}\div\frac{4}{3}\\)

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{2}{3}=\frac{2\times3 + 2}{3}=\frac{8}{3}$ and $1\frac{1}{2}=\frac{1\times2+1}{2}=\frac{3}{2}$

Step2: Rewrite the division as multiplication by reciprocal

$\frac{8}{3}\div\frac{3}{2}=\frac{8}{3}\times\frac{2}{3}=\frac{16}{9}$

Step3: Convert the improper fraction to a mixed - number

$\frac{16}{9}=1\frac{7}{9}$

Answer:

$1\frac{7}{9}$