Question

evaluate. (\frac{3}{8}-\frac{1}{4}cdot\frac{5}{6}) write your answer in simplest form.

Explanation:

Step1: Rewrite division as multiplication

$\frac{3}{8} \div \frac{1}{4} \times \frac{5}{6} = \frac{3}{8} \times \frac{4}{1} \times \frac{5}{6}$

Step2: Multiply numerators and denominators

$\frac{3 \times 4 \times 5}{8 \times 1 \times 6} = \frac{60}{48}$

Step3: Simplify the fraction

$\frac{60 \div 12}{48 \div 12} = \frac{5}{4}$

Answer:

$\frac{5}{4}$