Question

Simplify the following expression.
$\frac{3}{11}a -\frac{4}{7}-\frac{1}{3}a+\frac{2}{3}$

Answer 1

The simplified expression is $\frac{-2a}{33} +\frac{2}{21}$

Explanation:

The expression is $\frac{3}{11} a-\frac{4}{7}-\frac{1}{3} a+\frac{2}{3}$

Grouping the like terms,

$\frac{3}{11} a-\frac{1}{3} a-\frac{4}{7}+\frac{2}{3}$

Adding the like terms, we get,

$\frac{9a-11a}{33} +\frac{-12+14}{21}$

Subtracting the values, we have,

$\frac{-2a}{33} +\frac{2}{21}$

Thus, the simplified expression is $\frac{-2a}{33} +\frac{2}{21}$