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
Work through every topic in Fractions and Decimals with notes and quizzes
Start This ChapterFrequently 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.
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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