Answer
$\frac{37x-20}{56}$
Work Step by Step
$ \frac{3x}{8}+ \frac{2x}{7}- \frac{5}{14}$
The least common multiplier is $8\times 7=56$
Adjust the fractions based on the least common multiplier. For the first fraction, multiply the numerator and denominator by 7.
$ \frac{3x}{8}\times\frac{7}{7}= \frac{21x}{56}$
For the second fraction, multiply the numerator and denominator by 8.
$\frac{2x}{7} \times \frac{8}{8}= \frac{16x}{56}$
For the third fraction, multiply the numerator and denominator by 4.
$\frac{5}{14}\times \frac{4}{4}= \frac{20}{56}$
Therefore,
$ \frac{21x}{56} +\frac{16x}{56}- \frac{20}{56}= \frac{37x-20}{56}$