Fractions
ICSE · Class 6 · Mathematics
Quick revision notes for Fractions — ICSE Class 6 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Basic Concept of Fractions
- A fraction represents a part of a whole.
- It is written in the form \(\frac{a}{b}\), where \(a\) is the numerator and \(b\) is the denominator.
- The denominator cannot be zero.
Types of Fractions
- Proper Fraction: Numerator < Denominator (e.g., \(\frac{3}{5}\)).
- Improper Fraction: Numerator ≥ Denominator (e.g., \(\frac{7}{4}\)).
- Mixed Fraction: Combination of a whole number and a proper fraction (e.g., \(2\frac{1}{3}\)).
Converting Between Mixed and Improper Fractions
- To convert mixed to improper: Multiply whole number by denominator, add numerator, keep same denominator.
- To convert improper to mixed: Divide numerator by denominator. Quotient = whole number, remainder = new numerator.
Operations on Fractions
- To add or subtract fractions, convert to like fractions using LCM of denominators.
- To multiply fractions, multiply numerators and denominators separately.
- To divide, multiply by the reciprocal of the divisor.
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