Question

Simplify the given expression.
$\frac{13}{3}+\frac{7}{4}-\frac{11}{3}-\frac{1}{4}$

• A. $\frac{13}{8}$
• B. $\frac{13}{6}$
• C. $\frac{11}{6}$
• D. $\frac{16}{6}$

Answer 1

The correct option is B $\frac{13}{6}$

Rearrange the given fractions keeping similar fractions together.
$\frac{13}{3}+\frac{7}{4}-\frac{11}{3}-\frac{1}{4}$
$=\frac{13}{3}-\frac{11}{3}+\frac{7}{4}-\frac{1}{4}$

$=\frac{13-11}{3}+\frac{7-1}{4}$

$=\frac{2}{3}+\frac{6}{4}$

$=\frac{(2\times 4)+(6\times 3)}{12}$

$=\frac{8+18}{12}$

$=\frac{26}{12}$

$=\frac{\frac{26}{2}}{\frac{12}{2}}$

$=\frac{13}{6}$