divide to find the quetint of 7/8 divieded by 4 1/5 simplifiy the answer,if possible

A 40/147
B 3 27/40
C 4 4/5
D5/24

To divide 7/8 by 4 1/5, we need to convert the mixed number 4 1/5 into an improper fraction.

4 1/5 can be written as (4 * 5 + 1)/5 = 21/5.

Now, let's divide 7/8 by 21/5.

To divide fractions, we keep the first fraction the same and then flip the second fraction and multiply.

(7/8) * (5/21)
= (7 * 5) / (8 * 21)
= 35 / 168

Now, let's simplify the answer.

35/168 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 7.

35/168 = (35/7) / (168/7) = 5/24

Therefore, the simplified answer when dividing 7/8 by 4 1/5 is D) 5/24.