Question

Write your answer in simplest form. HELP

Answer 1

Answer:

$\frac{3}{16}$

Step-by-step explanation:

We do the division first because of PEMDAS.

Apply the fraction division rule: $\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

Therefore,

$\frac{5}{8}-\frac{1}{4}\div \frac{4}{7}=\frac{5}{8}-\frac{1}{4}\times \frac{7}{4}$

Multiply the two fractions:

$\frac{5}{8} -\frac{1\times \:7}{4\times \:4}$

$\frac{5}{8}-\frac{7}{16}$

The LCM of the denominators (8 and 16) is 16.

Adjust fractions:

$\frac{10}{16}-\frac{7}{16}$

Subtract:

$\frac{10-7}{16}$

$\frac{3}{16}$