What is the area of a rectangular room that is 3¾ yards long and 3⅓ yards wide
(15/4) * (10/3) = 150/12 = 12 1/2 square yards
To find the area of a rectangular room, you need to multiply its length by its width. In this case, the length is 3¾ yards and the width is 3⅓ yards.
First, let's convert the mixed numbers to improper fractions:
3¾ yards = 3 + ¾ yards = (3 * 4 + 3) / 4 = 12 / 4 + 3 / 4 = 15 / 4 yards
3⅓ yards = 3 + ⅓ yards = (3 * 3 + 1) / 3 = 9 / 3 + 1 / 3 = 10 / 3 yards
Now we can multiply the length by the width to find the area:
Area = length * width
= (15 / 4) * (10 / 3)
To multiply fractions, multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together:
Area = (15 * 10) / (4 * 3)
= 150 / 12
Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, and divide both by the GCD:
The GCD of 150 and 12 is 6, so:
Area = 150 / 12
= (150 ÷ 6) / (12 ÷ 6)
= 25 / 2
Therefore, the area of the rectangular room is 25/2 square yards, or 12 ½ square yards.