Answer
$ \frac{11x-5}{10}$
Work Step by Step
$\frac{9x}{10}-\frac{1}{2}+\frac{x}{5}$
The least common multiplier is 10, since $5\times2=10$
Adjust the fractions based on the least common multiplier. For the first fraction, no change is needed. For the second fraction, multiply the numerator and denominator by 5.
$ \frac{1}{2} \times \frac{5}{5}= \frac{5}{10}$
For the third fraction, multiply the numerator and denominator by 2.
$ \frac{x}{5} \times \frac{2}{2}= \frac{2x}{10}$
Therefore,
$\frac{9x}{10}- \frac{5}{10} + \frac{2x}{10}= \frac{11x-5}{10}$
