What is the quotient of 5/6÷1 1/

2 ? Write your answer in fraction form and simplify the answer, if possible.(1 point)

1 answer

To divide fractions, you need to the invert the second fraction and multiply it with the first fraction.

The first fraction is 5/6 and the second fraction is (1 1/2).

To invert the second fraction, you need to find its reciprocal.
(1 1/2) expressed as a fraction is 3/2. To find the reciprocal, you flip the fraction, which becomes 2/3.

Now, you multiply the first fraction by the reciprocal of the second fraction:
5/6 * 2/3 = (5*2)/(6*3) = 10/18

Simplifying the fraction, you can divide the numerator and denominator by their greatest common divisor, which is 2:
10/18 = (10/2)/(18/2) = 5/9

Therefore, the quotient is 5/9.