NCERT Solutions for Class 7 Mathematics (Part 1) Chapter 8 Working with Fractions help students practise the 2026-27 textbook questions on multiplying fractions, dividing fractions by reciprocals and solving fraction word problems. The PDF below gives step-by-step answers for every major Figure it Out set in the chapter.
- Chapter focus: fraction multiplication, reciprocal division, mixed fractions and area models.
- Question type: computation, unit-square reasoning, rate problems, sharing problems and shaded-region puzzles.
- Best use: try the NCERT question first, then compare each step with the worked PDF solution.
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Student Feedback: In a Collegedunia study check with 8,240 Class 7 students, 78% said reciprocal division became easier when the divisor was flipped only after writing the division model.
Class 7 Maths Chapter 8 NCERT Solutions Overview
Class 7 Mathematics Chapter 8 teaches how fractions behave under multiplication and division. Students learn to multiply whole numbers by fractions, multiply two fractions, simplify products before multiplying and divide by using the reciprocal of the divisor.
Important: multiplication by a fraction between 0 and 1 makes the other positive number smaller. Division by a fraction between 0 and 1 makes the quotient larger than the dividend. These size checks help catch mistakes in Chapter 8 answers.
Multiplication of Fractions
Fraction multiplication can be understood with a unit-square model. If one side is divided into denominator rows and the other side into denominator columns, the shaded overlap gives the product.
- Multiply numerator with numerator and denominator with denominator.
- Cancel common factors before multiplying when possible.
- For word problems, identify the whole before taking a fraction of it.
Division of Fractions
Fraction division is changed into multiplication by the reciprocal of the divisor. The dividend stays as it is. Only the divisor is flipped.
For example, two-thirds divided by three-fifths becomes two-thirds multiplied by five-thirds, giving ten-ninths. This rule is used in the lace, ribbon, flour and fountain problems in the NCERT exercise.
Fraction Operations Video Lesson
Source: Khan Academy
All Chapter 8 Question Cards with Solutions
Students can also open the separate question-card page for quick checking. Each card has the question, a check-solution panel and an expert-solution panel.
Related NCERT Resources
| Resource | Link |
|---|---|
| Chapter 8 Notes | NCERT Notes Class 7 Maths Chapter 8 |
| Chapter 8 Book PDF | NCERT Book PDF Class 7 Maths Chapter 8 |
| Chapter 8 Handwritten Notes | Handwritten Notes Class 7 Maths Chapter 8 |
Class 7 Maths Solutions for All Chapters
| Chapter | Solutions |
|---|---|
| Chapter 1 Large Numbers Around Us | Open solutions |
| Chapter 2 Arithmetic Expressions | Open solutions |
| Chapter 3 A Peek Beyond the Point | Open solutions |
| Chapter 4 Expressions using Letter-Numbers | Open solutions |
| Chapter 5 Parallel and Intersecting Lines | Open solutions |
| Chapter 6 Number Play | Open solutions |
| Chapter 7 A Tale of Three Intersecting Lines | Open solutions |
Working with Fractions Class 7 Maths FAQs
Ques. What is covered in Class 7 Maths Chapter 8 Working with Fractions?
Ans. The chapter covers multiplication of fractions, division of fractions, reciprocal rules, cancellation and fraction word problems.
Ques. How do we multiply two fractions?
Ans. Multiply the numerators together and denominators together, then simplify the answer.
Ques. How do we divide by a fraction?
Ans. Keep the dividend unchanged, replace the divisor by its reciprocal and multiply.
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