Question

divide.
$\frac{7}{10}div3\frac{1}{2}=$

Explanation:

Step1: Convert mixed - number to improper fraction

$3\frac{1}{2}=\frac{3\times2 + 1}{2}=\frac{7}{2}$

Step2: Change division to multiplication

$\frac{7}{10}\div\frac{7}{2}=\frac{7}{10}\times\frac{2}{7}$

Step3: Multiply the fractions

$\frac{7\times2}{10\times7}=\frac{14}{70}$

Step4: Simplify the fraction

$\frac{14\div14}{70\div14}=\frac{1}{5}$

Answer:

$\frac{1}{5}$