Lesson 3 of 16Article20 min
Fractions, Decimals & Percents
A fraction a/b means a equal parts when the whole is split into b equal parts (b ≠ 0). Equivalent fractions name the same amount: 1/2 = 2/4 = 3/6.
Fractions as parts of a whole
A fraction a/b means a equal parts when the whole is split into b equal parts (b ≠ 0). Equivalent fractions name the same amount: 1/2 = 2/4 = 3/6.
Decimals and percents as the same story
Every terminating or repeating decimal is a fraction in disguise. A percent is "per hundred": 37% = 37/100 = 0.37.
- Fraction → decimal: divide numerator by denominator.
- Decimal → percent: multiply by 100 and add %.
- Percent of a number: convert percent to decimal, then multiply.
- Finding what percent A is of B: (A/B) × 100%.
"Of" almost always means multiply. "What percent of 80 is 20?" → (20/80)×100% = 25%.
Worked example — shopping discount
A ₹2,400 jacket is 15% off. Discount = 0.15 × 2400 = ₹360. Sale price = 2400 − 360 = ₹2,040. Or compute 0.85 × 2400 directly.