Answer
$\frac{5}{3}$
Work Step by Step
Do the subtraction in the denominator first.
Find the least common denominator (LCD) of the two fractions in the denominator, and then multiply the numerators of those fractions by the factor that is missing between their denominators and the LCD:
$\dfrac{1}{\frac{1(5)}{5} - \frac{2}{5}}$
Multiply to simplify:
$\dfrac{1}{\frac{5}{5} - \frac{2}{5}}$
Perform the addition in the denominator:
$\dfrac{1}{\frac{3}{5}}$
Rewrite this fraction as a division problem:
$1 \div \frac{3}{5}$
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction:
$1 \times \frac{5}{3}$
Multiply to simplify:
$\frac{5}{3}$
