Learn the skillWhat is fraction operations?
Fractions represent parts of a whole. Each operation has a reliable procedure, and final answers should be reduced to simplest form.
How to solve fraction operations
- For addition or subtraction, rewrite both fractions with a common denominator.
- For multiplication, multiply numerators and denominators.
- For division, multiply by the reciprocal of the second fraction, then simplify.
Worked example
1/2 + 1/3
- Use 6 as a common denominator: 3/6 + 2/6.
- Add: 5/6.
Answer: 5/6
Common mistakes
- Adding denominators when adding fractions.
- Using a reciprocal during multiplication instead of division.
- Stopping before reducing the result.
Practice tips
- Estimate whether the result should be less than or greater than one.
- Reduce before multiplying when factors cancel cleanly.