Question

Misha made a poster showing how to calculate a BMI (body mass index). The poster is 2 1/4 ft. times 1 5/6 ft . What is the area of the poster? Convert the answer to a mixed number in simplest form.

1 answer

To find the area of the poster, we need to multiply the length and width.
Given that the length is 2 1/4 ft and the width is 1 5/6 ft, we can convert these mixed numbers to improper fractions:
2 1/4 = (2 * 4 + 1)/4 = 9/4
1 5/6 = (1 * 6 + 5)/6 = 11/6

Now, multiply the fractions:
Area = (9/4) * (11/6)
= 99/24
= 4 3/24

To simplify the mixed number, we can divide the numerator and denominator by their greatest common factor, which is 3:
4 3/24 = (4/3) * (3/3) + (3/3) * (1/8)
= 4/3 + 3/8
= (32/24) + (9/24)
= 41/24

So, the area of the poster is 41/24 square feet in simplest form.