Question

solve the problems below and\
\\(\frac{1}{2} \cdot \frac{2}{3} =\\)\
\\(\frac{4}{5} \cdot \frac{2}{1} =\\)\
\\(\frac{2}{8} \cdot \frac{7}{9} =\\)

Explanation:

Step1: Multiply numerators and denominators

$\frac{1}{2} \cdot \frac{2}{3} = \frac{1 \times 2}{2 \times 3} = \frac{2}{6}$

Step2: Simplify the fraction

$\frac{2}{6} = \frac{1}{3}$

Step3: Multiply numerators and denominators

$\frac{4}{5} \cdot \frac{2}{1} = \frac{4 \times 2}{5 \times 1} = \frac{8}{5}$

Step4: Multiply numerators and denominators

$\frac{2}{8} \cdot \frac{7}{9} = \frac{2 \times 7}{8 \times 9} = \frac{14}{72}$

Step5: Simplify the fraction

$\frac{14}{72} = \frac{7}{36}$

Answer:

$\frac{1}{2} \cdot \frac{2}{3} = \frac{1}{3}$
$\frac{4}{5} \cdot \frac{2}{1} = \frac{8}{5}$
$\frac{2}{8} \cdot \frac{7}{9} = \frac{7}{36}$