Question

How do you simplify `7/8 div 3/4`?

Answer 1

`7/6`

Explanation:

To make the division into a multiplication question, which are the easiest to solve, all you do is flip the right-hand fraction upside down and change the divide to a multiply. So it becomes:

`7/8 times 4/3`

Cancel the 4 on the top with the eight on the bottom and you are left with:

`7/cancel8^2 times cancel4/3 rarr 7/2 times 1/3`

Multiply the top numbers together and the bottom numbers together, and you get the final answer:

`7/6`

Answer 2

Write the equation as a complex fraction. and then simply the problem.

Explanation:

`7/8` is a division, it means 7 divided by 8.

`3/4` is a division, it means 3 divided by 4

`7/8` divided by `3/4` can be written as one division.
`(7/8)/(3/4)`

Now use the multiplicative inverse to make the bottom fraction (the denominator) `3/4` disappear

Multiply both the bottom fraction (denominator) and the top fraction(`7/8`) (numerator) by the multiplicative inverse `4/3`

`(7/8) xx (4/3) / (3/4 xx 4/3)`

`(3/4) xx (4/3)` = 1

leaving `(7/8) xx (4/3) = 28/ 24 = 7/6 = 1 1/6`