Answer
$\frac{34}{15}$ or $ 2 \frac{4}{15}$
Work Step by Step
The formula for the perimeter of a parallelogram is
$ P= 2 (a + b)$
$a$ is the side, and $b$ is the base.
The side is: $\frac{1}{3}$
The base is $\frac{4}{5}$
$ P= 2 ( \frac{1}{3} + \frac{4}{5})$
The least common multiple of the denominators is 15. Adjust the fractions based on the least common multiple. For the first fraction, multiply the numerator and denominator by 5.
$ \frac{1}{3} \times \frac{5}{5}= \frac{5}{15}$
For the second fraction, multiply the numerator and denominator by 3.
$\frac{4}{5} \times \frac{3}{3}= \frac{12}{15}$
$ \frac{5}{15}+ \frac{12}{15}= \frac{17}{15}$
Insert this value into the perimeter formula:
$ P= 2 (\frac{17}{15})= \frac{2\times 17}{15}= \frac{34}{15}= 2 \frac{4}{15}$
