What Is a Fraction?
A fraction represents a part of a whole. It is written as: numerator/denominator
Types of Fractions
- Proper fraction: numerator < denominator (e.g. 3/4)
- Improper fraction: numerator > denominator (e.g. 7/3)
- Mixed number: whole number + proper fraction (e.g. 2½)
- Equivalent fractions: same value, different form (e.g. 1/2 = 2/4 = 3/6)
Adding Fractions (Same Denominator)
1/5 + 2/5 = 3/5 — just add the numerators.
Adding Fractions (Different Denominators)
1/3 + 1/4: Find LCM of 3 and 4 = 12
= 4/12 + 3/12 = 7/12
Multiplying Fractions
2/3 × 3/5 = (2×3)/(3×5) = 6/15 = 2/5
Dividing Fractions
2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6 (multiply by the reciprocal)