What is the quotient of 216÷[1 1/3] ? Simplify the answer, if possible.(1 point)
a. 2 8/9
b. 9/26
c. 8/13
d. 1 5/8
To divide by a fraction, you can multiply by its reciprocal.
The reciprocal of 1 1/3 is 3/4, since 3/4 multiplied by 1 1/3 equals 1.
So we have:
216 ÷ (1 1/3) = 216 × (3/4)
To simplify this, we can divide both the numerator and denominator by their greatest common factor, which in this case is 12:
(216 × 3) ÷ (4 × 3) = 648 ÷ 12 = 54
Therefore, the quotient of 216 ÷ (1 1/3) is 54.
None of the given answer choices are 54, so none of them are correct.