Question

How do I simplify 3/8-6/7

Answer 1

`(-27)/(56)`

Explanation:

First, we will subtract.

[] Let's find common denominators.

8 -> 8, 16, 24, 32, 40, 48, 56, 64, 72, 80

7 -> 7, 14, 21, 28, 35, 42, 49, 56

`(3)/(8)=(3*7)/(8*7) =(21)/(56)`

`(6)/(7) =(6*8)/(7*8) =(48)/(56)`

(multiplying by these numbers does not affect them because, for example,
`(8)/(8)=1`)

[] Subtract across the numerators, the denominator stays the same

`(21)/(56) -(48)/(56) =(-27)/(56)`

[] Simplify

-> To simplify, we can find common factors

For 27: 1, 3, 9, and 27

For 56: 1, 2, 4, 7, 8, 14, 28, and 56

->
`(-27)/(56)` does not have any common factors besides one, so it is fully simplified

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather