What is the quotient of 5/6÷1 1/2 ? Write your answer in fraction form and simplify the answer, if possible.(1 point)
To find the quotient of 5/6 divided by 1 1/2, we need to convert the mixed number 1 1/2 into improper fraction form.
To do this, we multiply the whole number (1) by the denominator of the fraction (2) and then add the numerator (1) to get the new numerator. The denominator remains the same.
So, 1 1/2 = (1 * 2 + 1) / 2 = 3/2.
Now, we can divide 5/6 by 3/2:
(5/6) / (3/2) = (5/6) * (2/3)
Now, we can multiply the numerators together and the denominators together:
(5 * 2) / (6 * 3) = 10/18
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
10/2 / 18/2 = 5/9
So, the quotient of 5/6 divided by 1 1/2 is 5/9.