# What is the perimeter of the rectangle with sides 51/3 in and 101/6in?

##### 1 Answer
Apr 28, 2018

31 inches, or 78.54 cm

#### Explanation:

1. Convert mixed fractions to improper fractions
I figured out that if you multiply the coefficient by the denominator, and add the numerator, and slap that result over the original denominator, you'll get an equivalent improper fraction

$5 \frac{1}{3} \implies \frac{16}{3}$

$10 \frac{1}{6} \implies \frac{61}{6}$

1. Add the two side lengths together (make common denominators first)

$\frac{32}{6} + \frac{61}{6} = \frac{31}{2}$

1. Then multiply that by 2 since there's four sides on a rectangle

$\frac{31}{2} \cdot 2 = 31 \text{ inches}$

If you want centimetres, then multiply the inches by $\left(2.54 \text{ cm" )/ (1" inch}\right)$ to get a measurement of $78.74$ cm