Adding and Subtracting Fractions
This page focuses on the techniques for adding and subtracting fractions with different denominators. It emphasizes the importance of finding a common denominator before performing these operations.
Definition: A common denominator is the same bottom number used for both fractions in an addition or subtraction problem.
The process for adding fractions is explained step-by-step:
- Find the lowest common multiple of the denominators
- Multiply both the numerator and denominator of each fraction by the same number to achieve the common denominator
- Add the numerators while keeping the common denominator
- Simplify the result if possible
Example: To add 2/5 + 3/4, first find the common denominator of 20. Then, convert the fractions to 8/20 + 15/20, which adds up to 23/20.
For subtracting fractions, a similar process is followed, but the numerators are subtracted instead of added.
Highlight: When working with fractions, whatever operation is performed on the denominator must also be applied to the numerator.
The page concludes with practice questions for adding and subtracting fractions with unlike denominators, providing an opportunity for students to apply the learned concepts.