$\frac{2}{5} \div 4=$

Full solution

\frac{2}{5} \div 4=

Understand division of fraction: Understand the division of a fraction by a whole number. To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number. Reciprocal of $4$ is $\frac{1}{4}$ .
Multiply fraction by reciprocal: Multiply the fraction $(\frac{2}{5})$ by the reciprocal of $4$ $(\frac{1}{4})$ . $\frac{2}{5} \times \frac{1}{4} = \frac{2 \times 1}{5 \times 4}$
Perform multiplication: Perform the multiplication. $\newline$ $(2 \times 1) / (5 \times 4) = 2 / 20$
Simplify the fraction: Simplify the fraction. $\frac{2}{20}$ can be simplified by dividing both numerator and denominator by $2$ . $\frac{2}{20} = \frac{1}{10}$