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Fractions and Decimals

Gujarat Board · Class 7 · Mathematics

Quick revision notes for Fractions and Decimals — Gujarat Board Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions5 concepts

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Key Topics to Revise

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

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Full Notes

Key Concepts

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

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 Chapter Overview: Fractions and Decimals, Fractions and Decimals – Complete Chapter Overview, Complete Concept Map - Fractions and Decimals Operations. These are the concepts Gujarat Board Class 7 examiners draw on most — study them first, then practise related questions.
How to score full marks in Fractions and Decimals — Gujarat Board Class 7 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and 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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