to make 5 sets of curtains, when each set requires 2 1/3yards, how many of material are needed?
(1) 7 1/3
(2) 9 2/3
(3) 10 1/3
(4) 10 2/3
(5) 11 2/3
5 * (7/3) = _______ yards
IS IT 5 11 2/3 MS.SUE ?
To calculate the amount of material needed for 5 sets of curtains, we need to multiply the amount required for each set by 5.
Each set requires 2 1/3 yards of material. To multiply a whole number by a fraction, we multiply the whole number by the numerator and divide the result by the denominator.
In this case, we have:
2 1/3 * 5 = (2 * 3 + 1) / 3 * 5 = (6 + 1) / 3 * 5 = 7/3 * 5
To multiply fractions, we simply multiply the numerators together and multiply the denominators together.
7/3 * 5 = (7 * 5) / (3 * 1) = 35/3
The result is 35/3 yards of material.
To convert the fraction to a mixed number, we divide the numerator by the denominator:
35 รท 3 = 11 with a remainder of 2.
Therefore, the answer is 11 2/3 yards of material. So, the correct option is (5) 11 2/3.