3/4 divided by 7/8

(3/4)  /  (7/8)     invert the second fraction and multiply

(3/4) * (8/7) =

24/28 =

6/7

Answer: 6/7

Explanation: There's a little trick to help you if you have to divide two fractions.

3/4 divided by 7/8 is the same as (3/4)/(7/8) and maybe you've already realised that multiplying by half is the same as dividing by two (easiest example for this). If you need a moment to think about why that is take that moment and continue reading when it makes sense to you. Continuing with that logic multiplying by 1/4 is the same as dividing by 4 and multiplying by 1/8, 1/9 or 1/10 is the same as dividing by 8,9 or 10. Actually multiplying by a certain number is always the same as dividing by its 'reciprocal'. The reciprocal of a number is defined as the number one divided by that number.

So the reciprocal of 8 is 1/8, the reciprocal of 5 is 1/5 and so on...

If you've understood why that is you're holding a new power in your hands because now you can derive from that that (3/4) / (7/8) is the same as (3/4) * (8/7) and if you now imagine this as being written as fractions with the numbers under and above a line you can simply multiply together 3*8 and 4*7 to get 24/28 which can be simplified to 6/7.

Hope this helped.

Greetings

MayD