What is the quotient of 5/6 ÷ 1 1/2? Write your answer in fraction form and simplify the answer, if possible.(1 point)

Answer 1

To divide fractions, we need to multiply by the reciprocal of the second fraction.

First, let's convert the mixed number 1 1/2 to an improper fraction:

1 1/2 = (2*1 + 1)/2 = 3/2

Now, the division can be written as the multiplication:

5/6 ÷ 3/2 = 5/6 * 2/3

Now, we can multiply the numerators and denominators:

(5 * 2)/(6 * 3) = 10/18

To simplify the fraction, we can reduce it by dividing the numerator and denominator by their greatest common divisor, which is 2:

10 ÷ 2 = 5
18 ÷ 2 = 9

Therefore, the simplified fraction is 5/9.