Question

Help with this math picture :) worth 8 points

Answer 1

Solving for x...

`(1)/(2) x+ (1)/(4) = (15)/(16)`

Times the
`(1)/(2)` , both the numerator and denominator, by 8 to get the denominator to 16.
Times the
`(1)/(4)` , both the numerator and denominator, by 4 to get the denominator to 16.

Then rewrite the problem,

`(8)/(16)x+ (4)/(16) = (15)/(16)`

now that the denominators are all the same, you can solve...
subtract the
`(4)/(16)` from both sides

you should get
`(8)/(16) x = (11)/(16)`

Multiply both sides by 16 (it'll cancel both the 16 out making it go away)
8x = 11

divide each side by 8 to have the x alone

8x = 11
8 8

You should end with x =
`(11)/(8)` or 1.375