Question

I am trying to solve 6 and 3/4 + x = 8

Answer 1

6 and 3/4 + x = 8
Step 1: Turn 6 and 3/4 into an improper fraction. 6*4 = 24 which added by 3 = 27, so the improper fraction would be 27/4 . If you'd like you can change it to 6.75 if you're more comfortable with decimals.
Step 2: You need to do 8 - 27/4 in order to isolate the x. x = -27/4 + 8 or x = 8 - 27/4 Turn the 8 into a fraction that can be subtracted by 27/4, you do this by having 4 multiply both the denominator and the numerator which equals to 32/4. Now you can finally subtract 27/4 from 32/4 which is 5/4.
You can also do 8 - 6.75 or -6.75 + 8 which equals 1.25. 1.25 is equivalent to 5/4.
Answer: x = 5/4

P.S. sorry if my explanation is a bit messy, hopefully it helps!

Answer 2

Oh! and 5/4 equals 1 and 1/4.

Answer 3

6 3/4 + x = 8.
6 + 3/4 +x = 8.
Multiply both sides by 4:
24 + 3 + 4x = 32.
4x = 32-27 = 5.
X = 5/4 = 1 1/4 = 1.25.