Question

Subtract $\frac{3}{4}$ from $\frac{11}{7}$.

• A. $\frac{23}{7}$
• B. $\frac{23}{28}$
• C. $\frac{8}{28}$
• D. $\frac{14}{28}$

Answer 1

The correct option is B $\frac{23}{28}$

We need to calculate $\frac{11}{7}$ - $\frac{3}{4}.$
Here, the denominators of the rational numbers are different.
We find the LCM of 4 and 7, which is 28.
$\frac{11}{7}-\frac{3}{4}=\frac{11\times 4}{7\times 4}-\frac{3\times 7}{4\times 7}=\frac{44-21}{28}=\frac{23}{28}$