Explanation
Definition
Adding and subtracting fractions is an important skill in mathematics. To add or subtract fractions, they must have the same denominator. If the denominators differ, the fractions must first be expanded. Afterwards, simplifying the fraction helps bring it to its simplest form. Concepts like expanding fractions and fraction expansion are also part of this.
\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}
Procedure
Example: \frac{2}{5} + \frac{1}{5} = \frac{3}{5}.
Example: Expand \frac{1}{2} with 3: \frac{1}{2} = \frac{3}{6}.
Example: Simplify \frac{4}{8} = \frac{1}{2}.
Missunderstandings
Common Errors
- ★It is often forgotten to find the common denominator before adding or subtracting.
- ★It is mistakenly only the numerator that is multiplied when expanding and not the denominator.
- ★Often the largest possible divisor is not used when simplifying.
Problems
1 / 3
Add the fractions
\frac{1}{4} and \frac{2}{4}
2 / 3
Add the fractions
\frac{1}{3} and \frac{1}{4}
3 / 3
Calculate and simplify:
\frac{5}{6} - \frac{1}{4}
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