Answer
$\frac{34}{20}$ or $1\frac{7}{10}$
Work Step by Step
The formula for the perimeter of a quadrilateral is
$P=$ side a+side b+side c+ side d
$P= \frac{3}{4}+ \frac{1}{2}+ \frac{1}{5}+ \frac{1}{4}$
The least common multiple of the denominators is 20. Adjust the fractions based on the least common multiple. For the first fraction, multiply the numerator and denominator by 5.
$ \frac{3}{4} \times \frac{5}{5}= \frac{15}{20}$
For the second fraction, multiply the numerator and denominator by 10.
$ \frac{1}{2} \times \frac{10}{10}= \frac{10}{20}$
For the third fraction, multiply the numerator and denominator by 4.
$ \frac{1}{5} \times \frac{4}{4}= \frac{4}{20}$
For the fourth fraction, multiply the numerator and denominator by 5.
$ \frac{1}{4} \times \frac{5}{5}= \frac{5}{20}$
$P= \frac{15}{20}+ \frac{10}{20}+ \frac{4}{20}+ \frac{5}{20}= \frac{34}{20}= 1\frac{7}{10}$