Fractions and Decimals — Chapter Summary
Gujarat Board · Class 7 · Mathematics
Summary of Fractions and Decimals for Gujarat Board Class 7 Mathematics. Part of the Gujarat Board Class 7 Mathematics syllabus.
Interactive on Super Tutor
Studying Fractions and Decimals? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.
Free trial, no card needed.
Overview
Fractions and decimals are fundamental mathematical concepts that help us represent parts of a whole. In this chapter, you will learn how to multiply and divide fractions, understand the relationship between fractions and decimals, and perform various operations with decimal numbers. These concepts
Key Concepts
To multiply a whole number
To multiply a whole number with a fraction, multiply the whole number with the numerator and keep the denominator the same. For example: 3 × (2/7) = (
In mathematics
In mathematics, the word 'of' means multiplication. So '1/2 of 20' means 1/2 × 20 = 10. This concept connects fractions to practical situations: 'What
When multiplying two fractions
When multiplying two fractions, multiply the numerators together and the denominators together: (a/b) × (c/d) = (a×c)/(b×d). For example: (2/3) × (5/7
When multiplying two proper fractions (both
When multiplying two proper fractions (both less than 1), the product is smaller than each fraction: (2/3) × (4/5) = 8/15, and 8/15 < 2/3 and 8/15 < 4
The reciprocal of a fraction
The reciprocal of a fraction is obtained by flipping it upside down. The reciprocal of 3/5 is 5/3. The reciprocal of 7 (which is 7/1) is 1/7. A key pr
Learning Objectives
- Understand and perform multiplication of fractions with whole numbers
- Multiply proper fractions, improper fractions, and mixed fractions
- Learn the concept of 'of' as a multiplication operator
- Divide whole numbers, fractions, and mixed fractions
- Understand reciprocals and their role in division
Frequently Asked Questions
What are the important topics in Fractions and Decimals for Gujarat Board Class 7 Mathematics?
How should I revise Fractions and Decimals for Class 7 exams?
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Fractions and Decimals
For serious students
Get the full Fractions and Decimals chapter — start free.
Quizzes, flashcards, an AI doubt solver and a study plan for Gujarat Board Class 7 Mathematics. Free to start, no card needed.