Class 6 Maths Chapter 7 PDF: Fractions (Ganita Prakash)

Class 6 Maths Chapter 7, Fractions, builds conceptual mastery of fractions—from equal shares of rotis and chikkis to fractional units (1/n), marking fractions on the number line, mixed numbers, equivalent fractions, simplifying to lowest terms, comparing fractions, and Brahmagupta’s rules for adding and subtracting fractions.

What Class 6 Mathematics Chapter 7 Covers

7.1–7.5 Fractional Units, Number Line & Mixed Fractions introduces fractional units (unit fractions 1/2, 1/3, 1/4, …) as equal shares of a whole (7.1), builds general fractions by counting fractional units (numerator over denominator, 7.2–7.3), locates fractions less than and greater than 1 on the number line (7.4), and converts between fractions greater than 1 and mixed fractions by division with remainder (7.5).

7.6–7.9 Equivalent Fractions, Comparison, Addition/Subtraction & History uses fraction walls and multiplying/dividing numerator and denominator by the same number to find equivalent fractions and express fractions in lowest (simplest) terms (7.6); compares fractions with like numerators, like denominators or via common denominators (7.7); adds and subtracts fractions using Brahmagupta’s method (Brahmasphutasiddhanta, 628 CE) (7.8); and traces the history of fractions (bhinna) from the Rigveda and Kautilya’s Arthashastra to Bakshali and Arab mathematicians (7.9).

Exercises in Chapter 7

• Figure it Out exercise sets across every section with step-by-step Chapter Solutions included at the end of the PDF.
• Summary key formulas, visual proofs, and mathematical puzzles.

Read Class 6 Mathematics Chapter 7 Online

More Chapters

• Previous: Chapter 6: Perimeter and Area
• Next: Chapter 8: Playing with Constructions
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FAQ

What is Brahmagupta’s method for adding or subtracting two fractions with different denominators?
First convert both fractions into equivalent fractions having the same denominator (a common multiple of their denominators), and then add or subtract their numerators while keeping the common denominator.

When is a fraction said to be in its simplest form (lowest terms)?
A fraction is in its simplest form when its numerator and denominator have no common factor other than 1 (that is, the numerator and denominator are co-prime).

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