Question

divide.
\\(\frac{2}{5} div \frac{1}{14} = \\)
submit

Explanation:

Step1: Recall the rule for dividing fractions

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. So, for $\frac{2}{5} \div \frac{1}{14}$, we take the reciprocal of $\frac{1}{14}$, which is $\frac{14}{1}$, and then multiply it by $\frac{2}{5}$.
The formula for dividing fractions $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$ (where $b
eq0$, $c
eq0$, $d
eq0$).
So, $\frac{2}{5} \div \frac{1}{14} = \frac{2}{5} \times \frac{14}{1}$

Step2: Multiply the numerators and denominators

Multiply the numerators: $2\times14 = 28$
Multiply the denominators: $5\times1 = 5$
So, $\frac{2}{5} \times \frac{14}{1}=\frac{2\times14}{5\times1}=\frac{28}{5}$

Answer:

$\frac{28}{5}$ (or as a mixed number $5\frac{3}{5}$)