Question

evaluate the expression.
$1 - \frac{3}{5} \times \frac{1}{3} \div \frac{1}{2}$
write your answer as a frac

Explanation:

Step1: Handle division first (divide by reciprocal)

$\frac{1}{3} \div \frac{1}{2} = \frac{1}{3} \times 2 = \frac{2}{3}$

Step2: Multiply the fractions

$\frac{3}{5} \times \frac{2}{3} = \frac{3\times2}{5\times3} = \frac{2}{5}$

Step3: Subtract from 1

$1 - \frac{2}{5} = \frac{5 - 2}{5} = \frac{3}{5}$

Answer:

$\frac{3}{5}$