Question

How do you solve `1 3/8 = a + 2 2/6`?

Answer 1

`a=(-23/24)`

Explanation:

Re-write the given equation using improper fractions in place of the mixed fractions:
`color(white)("XXX")11/8=a+14/6`

Subtract `14/6` from both sides (and exchange sides for readability)
`color(white)("XXX")a=11/8-14/6`

Convert the fractions to a common denominator
`color(white)("XXX")a=(33-56)/24`

Simplify
`color(white)("XXX")a=-23/24`