# The area of a rectangular picture frame is 30 1/3 square inches. The length of the frame is 6 1/2 inches. How do you find the width of the frame?

Apr 28, 2018

Width is $4 \frac{2}{3}$ inches

#### Explanation:

It is the fractions which makes this question sound harder than it is.

The area is $12$ squ inches and the length is $6$ inches, we would know easily that the width is $2$ inches.

$A = l \times w \text{ } \rightarrow w = \frac{A}{l} = \frac{12}{6} = 2$

The method is exactly the same with the fractions.
The problem is about dividing with fractions.

$w = \frac{A}{l} = 30 \frac{1}{3} \div 6 \frac{1}{2}$

$w = \frac{91}{3} \div \frac{13}{2}$

$w = \frac{91}{3} \times \frac{2}{13}$

$w = {\cancel{91}}^{7} / 3 \times \frac{2}{\cancel{13}}$

$w = \frac{14}{3}$

$w = 4 \frac{2}{3}$ inches