Answer
$\frac{17}{12}$ or $ 1\frac{5}{12}$
Work Step by Step
$ x=\frac{1}{3}$ $y= \frac{3}{4}$
$2x+y= 2 (\frac{1}{3}) + \frac{3}{4}$
$ \frac{2\times1}{3} + \frac{3}{4}= \frac{2}{3}+ \frac{3}{4}$
The least common multiple is 12. Adjust the denominators of the fractions based on the least common multiple. For the first fraction, multiply the numerator and denominator by 4.
$ \frac{2}{3} \times \frac{4}{4}= \frac{8}{12}$
For the second fraction, multiply the numerator and denominator by 3.
$\frac{3}{4}\times \frac{3}{3}= \frac{9}{12}$
$\frac{8}{12}+ \frac{9}{12}= \frac{17}{12}= 1\frac{5}{12}$
