Question

divide. 2\frac{4}{9}\div2 =

Explanation:

Step1: Convert mixed - number to improper fraction

$2\frac{4}{9}=\frac{2\times9 + 4}{9}=\frac{18+4}{9}=\frac{22}{9}$

Step2: Rewrite division as multiplication

$\frac{22}{9}\div2=\frac{22}{9}\times\frac{1}{2}$

Step3: Multiply the fractions

$\frac{22\times1}{9\times2}=\frac{22}{18}$

Step4: Simplify the fraction

$\frac{22\div2}{18\div2}=\frac{11}{9}=1\frac{2}{9}$

Answer:

$1\frac{2}{9}$