When solving for variables with fractions instead of whole numbers, we still use the same process: adding the additive inverse.

**Additive inverse**: Number when added to another number equals zero.

The following video will show what the additive inverse of a fraction is and review some addition and subtraction of fractions:

Solving for a Variable on One Side Part 4-Addition and subtraction with fractions

Video Source (09:59 mins) | Transcript

As a rule, we can remember additive inverses as having the opposite sign (positive or negative) as our number. This is true with fractions as well.

Also remember, in order to add or subtract fractions, they must have a common denominator.

## Additional Resources

- Khan Academy: One-step Addition & Subtraction: Fractions & Decimals (04:31 mins, Transcript)

### Practice Problems

**Solve for the variable:**

- \(-\dfrac{9}{8}\;+\;{\text{g}}=-\dfrac{3}{8}\) (Solution
- \({\text{r}}+\dfrac{1}{4}=-1\) (Solution
- \({\text{x}}+\dfrac{5}{9}=\dfrac{1}{3}\) (Solution
- \(-3+{\text{g}}=\dfrac{5}{2}\) (Solution
- \(-4={\text{j}}+\dfrac{4}{3}\) (Video Solution
- \(\dfrac{7}{6}={\text{A}}-\dfrac{1}{2}\) (Solution
- \(\dfrac{-9}{8}=\dfrac{-3}{4}+{\text{a}}\) (Video Solution

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