Answer:
[tex]\frac{3}{16}[/tex]
Step-by-step explanation:
We do the division first because of PEMDAS.
Apply the fraction division rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
Therefore,
[tex]\frac{5}{8}-\frac{1}{4}\div \frac{4}{7}=\frac{5}{8}-\frac{1}{4}\times \frac{7}{4}[/tex]
Multiply the two fractions:
[tex]\frac{5}{8} -\frac{1\times \:7}{4\times \:4}[/tex]
[tex]\frac{5}{8}-\frac{7}{16}[/tex]
The LCM of the denominators (8 and 16) is 16.
Adjust fractions:
[tex]\frac{10}{16}-\frac{7}{16}[/tex]
Subtract:
[tex]\frac{10-7}{16}[/tex]
[tex]\frac{3}{16}[/tex]
