Question

2 1/2 divided by 3/4? Show your work.

Answer 1

2 1/2 / 3/4 can be seen as 5/2 / 3/4
. When we divide two fractions we get the reciprocal of one of them and multiply the other with it.

In this case: 3/4's reciprocal is 4/3. So, 5/2 / 3/4 is 5/2 * 4/3. This is 20/6, which can be simplified to 10/3, or 3 and 1/3.

Answer 2

First you make 2 1/2 into a improper fraction.
2 1/2 = 5/2

Next you change the division into multiplication and do a recipricol with 3/4 (which changes it into 4/3)
5/2 x 4/3

Now you multiply
5/2 x 4/3 = 20/6

Simplify
20/6 = 10/3

Answer is 10/3 or 3 1/3

hope this helps