divide to find the quotient of 7/8 divided by 4 1/5 simplify the answer if possible.

Answer 1

To divide 7/8 by 4 1/5, we need to convert 4 1/5 to an improper fraction first.

To do this, we multiply the whole number (4) by the denominator of the fraction (5) and add the numerator (1): 4 * 5 + 1 = 20 + 1 = 21. So, 4 1/5 is equivalent to 21/5.

Now, we can divide 7/8 by 21/5:
(7/8) / (21/5) = (7/8) * (5/21).

To simplify this fraction, we can cancel out common factors. Both 7 and 21 are divisible by 7, and both 8 and 5 can be divided by 1:
(7/8) * (5/21) = (1/8) * (5/3) = 5/24.

Therefore, the quotient of 7/8 divided by 4 1/5 is 5/24.