📖Definition
A fraction represents a part of a whole. It consists of a numerator (top number) showing how many parts you have, and a denominator (bottom number) showing how many equal parts the whole is divided into. Fractions are one of the fundamental concepts in mathematics.
📐Formula
The number a is called the numerator, b is called the denominator. The denominator cannot be zero because division by zero is undefined.
📝Step-by-Step Guide
Adding/Subtracting Fractions
Find a common denominator, convert fractions, then add/subtract numerators.
Multiplying Fractions
Multiply numerators together and denominators together.
Dividing Fractions
Multiply by the reciprocal (flip the second fraction).
Simplifying
Divide both numerator and denominator by their greatest common factor (GCF).
⚠️Common Mistakes to Avoid
- Adding denominators when adding fractions (wrong!)
- Forgetting to find a common denominator before adding/subtracting
- Not simplifying the final answer
- Flipping the wrong fraction when dividing
✏️Practice Problems
Calculate 1/4 + 1/4
Answer: 1/2
Calculate 2/3 + 3/4
Answer: 17/12 or 1 5/12
Calculate (2/3 × 5/6) ÷ 1/2
Answer: 10/9 or 1 1/9
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