the area of a rectangular picture frame is 30 1/3 square inches. the length of the frame is 6 1/2 inches.please help find the width of the frame. thanks

To find the width of the frame, we can use the formula for the area of a rectangle:

Area = Length × Width

Given that the area of the picture frame is 30 1/3 square inches and the length is 6 1/2 inches, we can substitute these values into the formula.

30 1/3 = 6 1/2 × Width

First, let's convert the mixed numbers into improper fractions:

30 1/3 = 91/3
6 1/2 = 13/2

Now the equation is:

91/3 = 13/2 × Width

To solve for Width, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 13/2, which is 2/13:

(91/3) × (2/13) = (13/2) × (2/13) × Width

Simplifying the equation:

(91 × 2) / (3 × 13) = Width

182/39 = Width

To simplify the fraction, we can find the greatest common divisor (GCD) of 182 and 39, which is 1. Divide both the numerator and the denominator by the GCD:

182 ÷ 1 / 39 ÷ 1 = 182/39 = 14/3

So, the width of the picture frame is 14/3 inches or approximately 4 2/3 inches.

A = LW

30.333 = 6.5W

4.667 = W