Question

subtract.
\frac{2}{7} - \frac{3}{4}
write your answer in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 7 and 4. The least common denominator (LCD) of 7 and 4 is \(7\times4 = 28\).
Rewrite each fraction with the LCD:
\(\frac{2}{7}=\frac{2\times4}{7\times4}=\frac{8}{28}\)
\(\frac{3}{4}=\frac{3\times7}{4\times7}=\frac{21}{28}\)

Step2: Subtract the fractions

Now subtract the numerators:
\(\frac{8}{28}-\frac{21}{28}=\frac{8 - 21}{28}=\frac{-13}{28}\)

Answer:

\(\frac{-13}{28}\)