Study Notes
Fractions represent parts of a whole and can be visualized by dividing shapes into equal parts. Equivalent Fractions — fractions that represent the same value even if they look different. Example: . Mixed Numbers — a combination of a whole number and a fraction. Example: . Improper Fractions — fractions where the numerator is greater than the denominator. Example: . Express Mixed Numbers as Improper Fractions — convert by multiplying the whole number by the denominator, adding the numerator, and placing over the original denominator. Example: . Express Improper Fractions as Mixed Numbers — divide the numerator by the denominator to find the whole number and remainder. Example: . Compare and Order Fractions — use common denominators or numerators to compare sizes. Example: . Addition and Subtraction of Fractions — find a common denominator before performing operations. Example: .
Exam Tips
Key Definitions to Remember
- Equivalent Fractions
- Mixed Numbers
- Improper Fractions
Common Confusions
- Mixing up numerators and denominators when comparing fractions
- Forgetting to convert mixed numbers to improper fractions before operations
Typical Exam Questions
- What is an equivalent fraction for ?
- Convert to an improper fraction.
- Add .
What Examiners Usually Test
- Ability to convert between mixed numbers and improper fractions
- Comparing and ordering fractions
- Performing addition and subtraction with fractions