Fractions, Mixed Numbers & Equivalent Fractions
Week 3 · Fractions Review
Review the key ideas behind fractions and learn to find equivalent forms.
What is a Fraction?\n\nA fraction represents part of a whole. **3/4** means 3 out of 4 equal parts.\n- **Numerator** (top): how many parts you have\n- **Denominator** (bottom): total equal parts\n\n## Equivalent Fractions\n\nFractions that represent the same amount. Multiply or divide both numerator and denominator by the same number.\n\n**1/2 = 2/4 = 4/8**\n\nTo simplify a fraction, divide both by their GCF (greatest common factor).\n\n## Mixed Numbers and Improper Fractions\n\n**Mixed number**: 2 3/4 (a whole number + fraction)\n**Improper fraction**: 11/4 (numerator > denominator)\n\nTo convert: 2 3/4 → (2 × 4 + 3)/4 = 11/4\n\n## Comparing Fractions\n\nFind a common denominator, then compare numerators.\n\n**2/3 vs 3/4** → 8/12 vs 9/12 → 3/4 is greater
Worked Examples
Example 1
📝 Simplify 8/12
✓ Answer: 2/3
GCF of 8 and 12 is 4. Divide both: 8÷4 = 2, 12÷4 = 3. Answer: 2/3
Example 2
📝 Convert 2 3/4 to an improper fraction
✓ Answer: 11/4
Multiply whole number by denominator: 2 × 4 = 8. Add numerator: 8 + 3 = 11. Keep denominator: 11/4
Common Mistakes to Avoid
- ⚠️Flipping numerator and denominator
- ⚠️Forgetting to multiply both top and bottom for equivalent fractions
- ⚠️Adding numerators AND denominators when adding fractions (wrong!)