Question

How do you solve `x-1/8=3/4`?

Answer 1

`x=7/8`

Explanation:

In order to isolate `x`, we should add `1/8` to both sides of the equation. This will keep the equation balanced and undo the `-1/8` already on the left hand side. This gives:

`xcolor(red)(cancel(color(black)(-1/8+1/8)))=3/4+1/8`

`x=3/4+1/8`

In order to add fractions, we must have a common denominator. We can achieve this by multiplying `3/4` by `2/2`, which is equal to `1`. This will change how the fraction looks but won't change its actual value.

`x=3/4(2/2)+1/8`

`x=6/8+1/8`

Now that the fractions have equal denominators, we can add the numerators and keep the denominators the same.

`x=(6+1)/8`

`x=7/8`