Question

3. Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction. A. 4/10 B. 245/1152 C. 42/48 D. 2/5

Answer 1

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction is 2/5. (7/24)/(35/48) = 7/24*48/35 = 48*7/24*35 = 2/5

Answer 2

To divide fractions, you would multiply the reciprocal. What this means is that you would flip the fraction, so if you flip the fraction 35/48, that is 48/35. And because we flipped it, we now need to multiply it with the other fraction. This would be
`(7)/(24) * (48)/(35)`. Now we can use cross multiplication to simplify. We can see that 48/24 is 2, and 2/1 = 2. So we can replace 48 with 2, and 24 with 1. Now we can also see that 35/7 = 5, and 5/1 = 5. So we can replace 35 with 5 and 7 with 1. So our new fractions are
`(1)/(1) * (2)/(5)`. And therefore your answer is D. 2/5. Hope this helps. Feel free to ask more questions, or ask questions about my explanation.