NCERT Class 6 Maths Chapter 7
Fractions
This chapter provides Class 6 CBSE students with a thorough understanding of fractions, including types of fractions, equivalent fractions, comparison, and operations like addition, subtraction, multiplication, and division. Students learn to simplify fractions, convert between mixed numbers and improper fractions, and apply fraction concepts to real-life problem-solving. The chapter is fundamental to ratio, proportion, and algebra topics in later classes.
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Key Terms
- Fraction
- A number representing a part of a whole, written as a/b where a is the numerator and b is the denominator; b ≠ 0.
- Proper Fraction
- A fraction where the numerator is less than the denominator, representing a value less than 1 (e.g., 3/5).
- Improper Fraction
- A fraction where the numerator is greater than or equal to the denominator, representing a value ≥ 1 (e.g., 7/4).
- Mixed Number
- A number consisting of a whole number part and a proper fraction part (e.g., 2¾ means 2 + 3/4).
- Equivalent Fractions
- Fractions that represent the same value or proportion, obtained by multiplying or dividing numerator and denominator by the same number (e.g., 1/2 = 2/4 = 3/6).
- Simplest Form
- A fraction where the numerator and denominator have no common factor other than 1; obtained by dividing by the HCF.
Frequently Asked Questions
How do you add fractions in Class 6 Maths?▾
To add fractions with the same denominator, add the numerators and keep the denominator: 2/7 + 3/7 = 5/7. For unlike denominators, first find the LCM, convert to equivalent fractions with the same denominator, then add numerators.
What is an equivalent fraction in Class 6 Maths?▾
Equivalent fractions are fractions that have the same value. They are created by multiplying or dividing both the numerator and denominator by the same number. For example: 1/3 = 2/6 = 3/9 = 4/12 are all equivalent fractions.
How do you convert an improper fraction to a mixed number in Class 6?▾
Divide the numerator by the denominator. The quotient becomes the whole number, the remainder becomes the new numerator, and the denominator stays the same. Example: 17/5 → 17 ÷ 5 = 3 remainder 2 → 3 and 2/5.
How do you compare fractions in Class 6 Maths Chapter 7?▾
To compare fractions with the same denominator, compare numerators (larger numerator = larger fraction). For different denominators, find the LCM, convert to equivalent fractions with the LCM as denominator, then compare numerators.
How do you simplify a fraction in Class 6 Maths?▾
To simplify a fraction, find the HCF of the numerator and denominator, then divide both by the HCF. For example, 24/36: HCF = 12, so 24÷12 = 2 and 36÷12 = 3, giving 2/3 in its simplest form.
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