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Chapter 2 of 5
Syllabus

Fractions and Decimals — Syllabus

Gujarat Board · Class 7 · Mathematics

What Fractions and Decimals covers in Gujarat Board Class 7 Mathematics: 4 topics, for the 2026-27 session. Topics include Multiplication of a Fraction by.

45 questions8 formulas & key relations5 concepts

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4 Topics · Gujarat Board Class 7 Mathematics · 2026-27

Topics in Fractions and Decimals

1

Multiplication of a Fraction by a Whole Number

  • To multiply a fraction by a whole number, multiply the whole number with the numerator of the fraction, keeping the denominator the same.
  • Formula: n × (a/b) = (n × a) / b
  • Example: 3 × (2/7) = (3 × 2) / 7 = 6/7
2

Multiplication of a Fraction by a Fraction

  • To multiply two fractions, multiply the numerators together and the denominators together.
  • Formula: (a/b) × (c/d) = (a × c) / (b × d)
  • Example: (2/3) × (4/5) = (2 × 4) / (3 × 5) = 8/15
3

Division of Fractions – Reciprocals

  • The reciprocal of a fraction is obtained by swapping (inverting) the numerator and denominator.
  • Reciprocal of (a/b) is (b/a).
  • Example: Reciprocal of (3/7) is (7/3); Reciprocal of (5/9) is (9/5).
4

Multiplication of Decimal Numbers

  • To multiply two decimal numbers: (1) Multiply them as whole numbers ignoring the decimal point. (2) Count the total number of digits to the right of decimal points in BOTH numbers. (3) Place the decim
  • Example: 1.2 × 2.5 → 12 × 25 = 300; total decimal places = 1 + 1 = 2; answer = 3.00 = 3
  • Example: 2.5 × 1.25 → 25 × 125 = 3125; decimal places = 1 + 2 = 3; answer = 3.125

Key Concepts

To multiply a whole numberIn mathematicsWhen multiplying two fractionsWhen multiplying two proper fractions (bothThe reciprocal of a fraction

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Frequently Asked Questions

What are the important topics in Fractions and Decimals for Gujarat Board Class 7 Mathematics?
Key topics in Fractions and Decimals include Multiplication of a Fraction by a Whole Number, Multiplication of a Fraction by a Fraction, Division of Fractions – Reciprocals, Multiplication of Decimal Numbers. Study these first, then practise questions on each for Class 7 exams.
How should I revise Fractions and Decimals for Class 7 exams?
Learn the core ideas first, then work through the 45 practice questions on Fractions and Decimals. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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