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NCERT Solutions for Ganita Prakash (Part 1) Chapter 8 Working with Fractions

Updated on 2026-09-05

About this chapter

Multiplying by a fraction is done in two steps: divide the multiplicand by the multiplier's denominator, then multiply by its numerator. Drawing the two fractions as the sides of a rectangle inside a unit square shows why area = product of the sides . Brahmagupta's formula: a ⁄ b × c ⁄ d = a × c ⁄ b × d . Common factors may be cancelled before multiplying. The product is not always bigger: multiplying by a number between 0 and 1 makes it smaller; multiplying by a number greater than 1 makes it bigger. The reciprocal of a ⁄ b is b ⁄ a ; a fraction times its reciprocal is 1. To divide, multiply by the divisor's reciprocal. Dividing by a number between 0 and 1 makes the quotient larger than the dividend — which is why 6 ÷ 1 ⁄ 4 = 24.

  • –175Section 8.1 Multiplication of Fractions
  • Worked Examples
  • –177Section 8.1 Multiplication of Fractions
  • –179Multiplying Two Fractions
  • –181Multiplying Fractional Units
  • –184Section 8.1 Multiplication of Fractions
  • –188Section 8.2 Division of Fractions
  • Dividend, Divisor and the Quotient
  • –191Section 8.3 Some Problems Involving Fractions
  • –193Fractional Relations
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Exercises

  1. –175Section 8.1 Multiplication of Fractions — In-text Questions Page 173
  2. In-text Questions — Worked Examples Page 176
  3. –177Section 8.1 Multiplication of Fractions — Figure it Out Page 176
  4. –179Multiplying Two Fractions — In-text Questions Page 177
  5. Connection between the Area of a Rectangle and Fraction Multiplication — In-text Questions Page 180
  6. –181Multiplying Fractional Units — Figure it Out Page 180
  7. –182Multiplying Numerators and Denominators; Simplifying to Lowest Form — In-text Questions Page 181
  8. –184Section 8.1 Multiplication of Fractions — Figure it Out Page 183
  9. –186Is the Product Always Greater than the Numbers Multiplied? / Order of Multiplication — In-text Questions Page 184
  10. –188Section 8.2 Division of Fractions — In-text Questions Page 186
  11. Dividend, Divisor and the Quotient — In-text Questions Page 189
  12. –191Section 8.3 Some Problems Involving Fractions — In-text Questions Page 190
  13. –193Fractional Relations — Math Talk Page 192
  14. –194A Dramma-tic Donation — In-text Questions Page 193
  15. –198Chapter Exercises — Figure it Out Page 196
  16. Chess Puzzles — Puzzle Time Page 199
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