What is the primary focus of NCERT Class 7 Maths Chapter 8: Working with Fractions?

This chapter primarily focuses on teaching students how to perform multiplication and division of fractions, including proper fractions, improper fractions, and mixed fractions. It builds upon earlier concepts of fractions and their types.

How do you multiply a fraction by a whole number?

To multiply a fraction by a whole number, you multiply the whole number by the numerator of the fraction, and the denominator remains the same.

What is the rule for multiplying two fractions?

To multiply two fractions, you multiply their numerators together and multiply their denominators together. The rule is ba×dc=b×da×c. This is often visualized using unit squares to represent areas .

What is a reciprocal, and how is it used in fraction division?

The reciprocal of a non-zero fraction ba is obtained by swapping its numerator and denominator, resulting in ab. In fraction division, dividing by a fraction is equivalent to multiplying by its reciprocal].

What is the relationship between the product of two proper fractions and the original fractions?

When two proper fractions (fractions where the numerator is less than the denominator) are multiplied, their product is always smaller than either of the original fractions.

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NCERT Solutions

Class 7

Maths

Chapter 8 Working with Fractions

NCERT Solutions Class 7 Maths Chapter 8 Working with Fractions

NCERT Solutions Class 7 Maths Chapter 8: Working with Fractions helps students understand how to solve problems involving different types of fractions. This chapter covers the basic operations—addition, subtraction, multiplication, and division—of like and unlike fractions. It also includes simple word problems to help students apply what they’ve learned in real-life situations, such as sharing, measuring, or comparing quantities.

These NCERT Solutions follow the official NCERT syllabus and explain every question in a step-by-step manner. The language is kept simple and clear so that students can easily follow along and solve each problem with confidence. Practicing with these NCERT Solutions will help Class 7 students strengthen their understanding of fractions and perform better in class tests and exam

1.0NCERT Solutions Class 7 Maths Chapter 8 Working with Fractions – Download PDF

Download our FREE PDF of NCERT Solutions Class 7 Maths Chapter 8 – Working with Fractions, exclusively crafted by experts at ALLEN.

NCERT Solutions for Class 7 Maths Chapter 8: Working with Fractions

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2.0Key Concepts in Chapter 8: Working with Fractions

1. Review of Basic Fractions

Numerator and denominator definitions.
Proper, improper, and unit fractions.
Converting between mixed numbers and improper fractions.

2. Equivalent Fractions and Simplification

Simplifying fractions by dividing numerator and denominator by their HCF.
Creating equivalent fractions using multiplication.

3. Addition and Subtraction of Fractions

For like denominators: direct add/subtract numerators.
For unlike denominators: find LCM, convert to equivalent fractions, then perform operation.

4. Multiplication of Fractions

Multiply numerators × numerators, denominators × denominators.
Simplify before multiplying to avoid large numbers.

5. Division of Fractions

Multiply by the reciprocal of the divisor.

6. Operations Involving Mixed Numbers

Convert to improper fractions → perform operations → convert back.

7. Word Problems with Fractions

Translate real-life problems—like sharing, combining quantities, comparing fractions—into equations.
Emphasis on step-by-step solving using simplification strategies.

8. Comparing and Converting Fractions

Compare fractions by converting to like denominators or using cross-multiplication.
Convert fractions to decimals (precursor to Chapter 9).

9. Fraction Expressions and Factorization

Simplify complex expressions involving multiple fractional operations.
Use algebraic understanding

3.0Key Features of NCERT Solutions Class 7 Maths Chapter 8 : Working with Fractions

Conceptual Depth: Solutions are crafted to provide clear and thorough explanations of fundamental concepts, including the various types of fractions, the meaning of reciprocals, and the logic behind fractional operations.

Step-by-Step Methodology: Every exercise from the NCERT Ganita Prakash textbook is solved with detailed, easy-to-follow steps. This systematic approach helps students understand the reasoning and procedures for multiplication and division of fractions.

Visual Learning Integration: The solutions incorporate and explain the use of visual models like unit squares and rectangle areas to illustrate fraction multiplication, aiding in intuitive understanding and making abstract concepts more concrete.

Emphasis on Real-World Problems: Solutions connect fractional operations to practical, everyday scenarios (e.g., calculating distance, distributing land), demonstrating the applicability and importance of fractions in real life.

Clarity on Mixed Fractions: Detailed guidance is provided on how to convert mixed fractions to improper fractions and vice versa, a crucial step before performing multiplication or division.

Adherence to Updated NCERT Syllabus: The content strictly follows the latest NCERT Ganita Prakash curriculum for Class 7, ensuring that students are well-prepared for their examinations and aligned with current academic standards.

Downloadable PDF Format: Conveniently available as a PDF, these NCERT Solutions can be accessed anytime, anywhere, facilitating flexible and self-paced learning for all students.