the area of a rectangular picture frame is 30 1/3 square inches. the length of the frame is 6 1/2 inches. find the width
To find the width of the rectangular picture frame, we can use the formula for the area of a rectangle:
Area = Length × Width
Given that the area of the frame is 30 1/3 square inches, we can set up the equation:
30 1/3 = 6 1/2 × Width
To make the calculations easier, let's convert all the mixed numbers into improper fractions:
30 1/3 = 91/3
6 1/2 = 13/2
Now, we can rewrite the equation:
91/3 = 13/2 × Width
To isolate the width, we need to divide both sides of the equation by 13/2:
(91/3)/(13/2) = Width
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(91/3) × (2/13) = Width
Now, let's simplify the calculation:
91/3 × 2/13 = (91 × 2) / (3 × 13) = 182/39
The width of the frame is 182/39 inches.
30 1/3 / 6 1/2
91/3 / 13/2
(91/3) * (2/13) = 182/39 = 14