Adding and Subtracting Unlike Fractions
Learning to add and subtract fractions with different denominators.
Core concept
For example, to add 1/3 and 1/4: find the LCM of 3 and 4 (which is 12), convert both fractions (1/3 = 4/12, 1/4 = 3/12), then add: 4/12 + 3/12 = 7/12. This systematic process ensures accuracy even with more complex unlike fractions, and mastering it is essential before moving on to algebraic fractions in higher classes, where the same common-denominator principle applies to expressions with variables.
Exam highlight
Key diagram

Keywords worth remembering
Trending
Most searched
Quick revision
Study resources
Notes & downloads
Quick notes
• Unlike fractions (different denominators) must be converted to a common denominator before adding/subtracting.
• Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
• Simplify the final answer to lowest terms if possible.
• This same principle later applies to algebraic fractions with variables in higher classes.