Answer:
Step-by-step explanation:
First, we will subtract.
[] Let's find common denominators.
8 -> 8, 16, 24, 32, 40, 48, <u>56</u>, 64, 72, 80
7 -> 7, 14, 21, 28, 35, 42, 49, <u>56</u>
![\frac{3}{8}=\frac{3*7}{8*7} =\frac{21}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%3D%5Cfrac%7B3%2A7%7D%7B8%2A7%7D%20%20%3D%5Cfrac%7B21%7D%7B56%7D)
![\frac{6}{7} =\frac{6*8}{7*8} =\frac{48}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B7%7D%20%3D%5Cfrac%7B6%2A8%7D%7B7%2A8%7D%20%3D%5Cfrac%7B48%7D%7B56%7D)
(multiplying by these numbers does not affect them because, for example,
)
[] Subtract across the numerators, the denominator stays the same
![\frac{21}{56} -\frac{48}{56} =\frac{-27}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B56%7D%20-%5Cfrac%7B48%7D%7B56%7D%20%3D%5Cfrac%7B-27%7D%7B56%7D)
[] Simplify
-> To simplify, we can find common factors
For 27: <u>1</u>, 3, 9, and 27
For 56: <u>1</u>, 2, 4, 7, 8, 14, 28, and 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