Important Formulas of Chapter 7: Fractions in Maths Class 6
1. Definition of Fraction:
- A fraction represents a part of a whole number. It has two parts - the numerator (top number) and the denominator (bottom number).
2. Equivalent Fractions:
- Equivalent fractions are different fractions that represent the same value. To find equivalent fractions, multiply or divide both the numerator and denominator by the same non-zero number.
3. Adding Fractions:
- To add fractions with the same denominator, add the numerators and keep the denominator the same.
Example: 1/4 + 2/4 = 3/4
4. Subtracting Fractions:
- To subtract fractions with the same denominator, subtract the numerators and keep the denominator the same.
Example: 5/8 - 3/8 = 2/8 = 1/4
5. Multiplying Fractions:
- To multiply fractions, multiply the numerators and denominators together.
Example: 2/3 * 1/4 = 2/12 = 1/6
6. Dividing Fractions:
- To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
Example: 3/5 ÷ 2/3 = 3/5 * 3/2 = 9/10
7. Proper Fractions, Improper Fractions, and Mixed Numbers:
- Proper fractions have numerators smaller than denominators. Improper fractions have numerators equal to or greater than denominators. Mixed numbers are a whole number and a fraction combined.
Understanding these formulas and concepts will help in solving problems related to fractions effectively. Practice and application of these formulas will enhance your understanding and proficiency in dealing with fraction-related calculations.