Answer:
[tex]\frac{-27}{56}[/tex]
Step-by-step 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
[tex]\frac{3}{8}=\frac{3*7}{8*7} =\frac{21}{56}[/tex]
[tex]\frac{6}{7} =\frac{6*8}{7*8} =\frac{48}{56}[/tex]
(multiplying by these numbers does not affect them because, for example, [tex]\frac{8}{8}=1[/tex])
[] Subtract across the numerators, the denominator stays the same
[tex]\frac{21}{56} -\frac{48}{56} =\frac{-27}{56}[/tex]
[] 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
-> [tex]\frac{-27}{56}[/tex] 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
