India's #1 AI Tutorworksheet · Mathematics · Chapter 8

CBSE Class 7 Mathematics Chapter 8 Working with Fractions Worksheet with Answers

Working with Fractions is a cornerstone chapter in CBSE Class 7 Mathematics that extends students' understanding from basic fraction concepts to advanced operations. This worksheet provides structured practice across multiplication, division, reciprocals and real-world applications. Designed to match the 2025 CBSE examination pattern, it covers all NCERT topics with varying difficulty levels to build confidence and competence in fraction manipulation.

Your child's private AI tutor — trained on NCERT.

3-day free trial · ₹1 to start · Cancel anytime.

Start 3-day free trial →

Key takeaways

✓Multiplication of fractions involves multiplying numerators together and denominators together, then simplifying the result to lowest terms
✓Division of fractions is performed by multiplying the first fraction by the reciprocal of the second fraction
✓The reciprocal of a fraction a/b is b/a, and the product of a fraction and its reciprocal always equals 1
✓Word problems on fractions require careful translation of language into mathematical operations before solving
✓Mixed numbers must be converted to improper fractions before performing multiplication or division operations
✓Understanding fraction operations builds the foundation for algebra, ratios, percentages and real-life problem solving
✓CBSETUTOR.ai offers 24×7 AI-powered doubt solving with photo upload at ₹999/month for all classes 6-12 with a 3-day free trial

Quick Chapter Recap: Working with Fractions

Chapter 8 of NCERT Class 7 Mathematics focuses on four core operations with fractions. Multiplication of fractions is straightforward: multiply numerators together and denominators together, then reduce. For example, 2/3 × 4/5 = 8/15. Division requires finding the reciprocal of the divisor and then multiplying. The reciprocal of a fraction is obtained by swapping numerator and denominator—the reciprocal of 3/4 is 4/3. Word problems translate everyday scenarios into fraction operations, requiring students to identify whether to multiply or divide. Comparing operations helps students understand how multiplying by a proper fraction makes numbers smaller, while dividing by a proper fraction makes them larger. These concepts appear frequently in CBSE board exams and form essential building blocks for algebra and advanced mathematics in Classes 8, 9 and 10.

Multiplication: (a/b) × (c/d) = (a×c)/(b×d), always simplify to lowest terms
Division: (a/b) ÷ (c/d) = (a/b) × (d/c)
Reciprocal: For a/b, reciprocal is b/a; for whole number n, reciprocal is 1/n
Convert mixed numbers to improper fractions before multiplying or dividing
Product of a fraction and its reciprocal is always 1

Worksheet Details: Difficulty Level and Time Allocation

This printable CBSE Class 7 Mathematics Chapter 8 worksheet is designed at a moderate difficulty level, suitable for students who have completed the NCERT textbook exercises and are preparing for school assessments or the annual board examination. The worksheet includes 30+ questions across six sections—MCQs, fill-in-the-blanks, true/false, short-answer, long-answer and a case-study—mirroring the latest CBSE question paper pattern introduced in 2023-24. Suggested time allocation is 90 minutes under exam conditions, though students may take longer during initial practice. Parents in cities like Delhi, Mumbai, Bangalore and Pune can use this as a weekend revision tool. Teachers can deploy it as a class test or homework assignment. The complete answer key with step-by-step explanations allows for self-assessment, making it ideal for independent learners who rely on platforms like CBSETUTOR.ai for personalized support when they get stuck on tricky problems involving mixed numbers or multi-step word problems.

Difficulty level: Moderate (suitable for average to above-average students)
Suggested time: 90 minutes (strict exam conditions)
Total questions: 30+ covering all NCERT topics from Chapter 8
Marking scheme provided in answer key for self-evaluation
Printable PDF format—download, print and practice offline

Section A: Multiple Choice Questions (MCQs)

Multiple choice questions test conceptual understanding and quick problem-solving skills. In CBSE Class 7 Mathematics exams, MCQs typically carry 1 mark each and assess students' ability to identify correct operations, recognize patterns and apply formulas accurately. This section contains six carefully crafted MCQs covering multiplication of fractions, division operations, reciprocals and application-based scenarios. Students should read each question twice, eliminate obviously wrong options and verify calculations before marking the answer. Common mistakes include forgetting to simplify final answers, confusing multiplication with division when reading word problems, and incorrectly finding reciprocals of mixed numbers. Practicing MCQs regularly sharpens exam speed and accuracy. Many Kendriya Vidyalayas and CBSE-affiliated private schools in NCR, Chennai and Hyderabad include 5-6 MCQs from this chapter in their periodic assessments, so mastering this format is essential for scoring full marks in the objective section of Mathematics papers.

Section B: Fill in the Blanks

Fill-in-the-blank questions demand precise recall of definitions, properties and calculation results. This section comprises five statements with missing elements that students must complete using their knowledge of Working with Fractions concepts from NCERT Class 7 Mathematics. Unlike MCQs, these questions do not offer options, so students must independently arrive at the correct answer through understanding and computation. Topics covered include properties of reciprocals, results of specific fraction operations, definitions of terms and identification of operation types based on described scenarios. Students should write answers neatly in the space provided, ensuring proper fraction notation with horizontal bars or slashes as appropriate. Many CBSE schools in Tier-2 cities such as Indore, Coimbatore and Lucknow include 4-5 fill-in-the-blanks in their Class 7 Mathematics worksheets and unit tests. This format tests whether students can retrieve and apply knowledge without external cues, building stronger memory pathways for examination success.

Section C: True or False Statements

True or false questions assess students' ability to evaluate mathematical statements critically and identify misconceptions. This section presents five declarative statements about fraction operations, properties and applications. Students must write 'True' or 'False' beside each statement and, if instructed, provide a brief justification or correction for false statements. This format is particularly effective for uncovering common errors such as believing that multiplying always increases a value (untrue when multiplying by proper fractions) or that division always decreases a value (untrue when dividing by proper fractions). CBSE Class 7 Mathematics assessments often include 3-4 such statements to quickly gauge conceptual clarity. Schools in cities like Kolkata, Ahmedabad and Jaipur frequently use this format in weekly quizzes and monthly tests. Students should read each statement carefully, checking against learned principles from Chapter 8, and avoid rushing through this section. A single word can change the truth value of a statement, so attention to detail is crucial for full marks.

Section D: Short Answer Questions (2-3 Marks Each)

Short answer questions require students to show working steps and arrive at solutions within 3-4 lines. This section contains five questions worth 2-3 marks each, focusing on direct application of multiplication and division algorithms, finding reciprocals, solving simple word problems and performing operations with mixed numbers. Students must write the question number clearly, show all calculation steps and box or underline the final answer. Marks are awarded for both correct method and accurate result, so even if the final answer is wrong, partial credit is given for proper approach. These questions mirror the Class 7 Mathematics solutions format found in NCERT exemplar books and previous years' CBSE question papers. Teachers across Delhi Public Schools, Kendriya Vidyalayas and DAV institutions emphasize neat presentation and logical progression in short-answer responses. Parents often notice that students lose marks not due to conceptual weakness but because of skipped steps or calculation errors, which regular worksheet practice can eliminate effectively.

Section E: Long Answer and HOTS Questions (4-5 Marks Each)

Long answer and Higher Order Thinking Skills questions assess deep understanding, multi-step problem solving and the ability to apply fraction concepts in novel or complex scenarios. This section includes three questions worth 4-5 marks each, demanding detailed working, logical reasoning and sometimes multiple operations in sequence. Word problems here may involve real-life contexts such as sharing, measurement, recipe scaling or financial calculations where students must decide which operations to perform and in what order. HOTS questions might ask students to compare results, justify why a particular method works or find values that satisfy given conditions. These questions are crucial for students aiming for 90+ percentages in CBSE Class 7 Mathematics annual exams. Schools in competitive academic environments—Noida, Gurgaon, Pune, Bangalore—often include 2-3 such challenging problems in term-end papers. Platforms like CBSETUTOR.ai provide step-by-step photo-based solutions for similar HOTS questions, helping students learn structured problem-solving approaches that score full marks.

Section F: Case Study Based Question

Case study questions, introduced in the revised CBSE pattern from 2021-22 onwards, present a real-world scenario followed by 3-4 sub-questions testing application, analysis and inference skills. This format has gained prominence in CBSE Mathematics papers for Classes 7-10 and typically carries 4 marks. Students must read a paragraph describing a situation—such as a recipe, construction project, journey or distribution problem—and answer questions that require extracting data, performing fraction operations and interpreting results in context. The case study in this worksheet involves a practical scenario where students apply multiplication and division of fractions, mixed numbers and reciprocals to solve interconnected problems. This question type bridges Mathematics with everyday life, showing students why mastering fractions matters beyond textbooks. Schools in metropolitan areas and Tier-1 cities have begun incorporating case studies in periodic tests to familiarize students with this format early, ensuring they are not caught off-guard during annual exams or competitive entrance tests for Classes 9-10.

Complete Answer Key with Explanations

The answer key section provides correct answers and step-by-step explanations for every question in this worksheet, enabling students to self-assess and learn from mistakes. Each MCQ answer includes the correct option with reasoning. Fill-in-the-blank answers show the exact term or value expected. True/false answers clarify why a statement is true or provide the correction for false statements. Short-answer solutions display complete working with intermediate steps, demonstrating proper fraction simplification and operation sequence. Long-answer and HOTS solutions break down complex problems into manageable parts, showing how to translate word problems into mathematical expressions, perform calculations systematically and interpret results meaningfully. The case-study answers guide students through data extraction and multi-step reasoning. Parents and students value detailed answer keys because they turn worksheets into powerful self-learning tools. When students review their errors against explanations, they identify weak areas—whether conceptual misunderstanding, calculation slip-ups or misreading questions—and can seek targeted help from teachers or platforms like CBSETUTOR.ai, which offers unlimited doubt-solving at just ₹999 per month for Classes 6-12.

Every answer includes step-by-step working for transparency
Marks distribution indicated for short and long answer questions
Common mistakes highlighted to prevent repeated errors
Alternative methods shown where applicable
Answers verified against NCERT Class 7 Mathematics solutions standards

How CBSETUTOR.ai Supports Fraction Mastery

Many Class 7 students in India struggle with fractions, especially when converting mixed numbers or solving multi-step word problems under time pressure. CBSETUTOR.ai offers a 24×7 AI tutor that students can access from any device, making it ideal for families across Delhi, Mumbai, Bangalore, Pune, Hyderabad and smaller towns where after-school coaching may be expensive or inconvenient. Students simply photograph a confusing problem—say, a tricky division involving mixed numbers from Section D—and the AI provides a step-by-step solution with explanations tailored to NCERT Class 7 Mathematics language and methods. At a flat rate of ₹999 per month covering all subjects for Classes 6-12, it costs less than two hours with a private tutor yet delivers unlimited doubt-solving any time of day or night. Parents appreciate the 3-day free trial, which lets their child test the platform before committing. Unlike generic video lectures, CBSETUTOR.ai responds to the exact question the student is stuck on, building confidence and independence. For Working with Fractions and other challenging chapters, this personalized support transforms worksheets from frustrating tasks into effective learning experiences.

Photo-upload doubt solving for any fraction problem within seconds
Step-by-step solutions aligned with NCERT Class 7 Mathematics format
Available 24×7, perfect for last-minute revision before school tests
Flat ₹999/month for all subjects across Classes 6-12
3-day free trial—no credit card required to start

Tips for Scoring Full Marks in Fraction Problems

Success in CBSE Class 7 Mathematics Chapter 8 Working with Fractions depends on accuracy, method clarity and regular practice. First, always convert mixed numbers to improper fractions before multiplying or dividing—skipping this step is a common error that leads to wrong answers. Second, simplify fractions at every stage, not just at the end; this reduces calculation complexity and minimizes mistakes. Third, when solving word problems, underline key phrases like 'of' (multiplication) and 'divided into' (division) to identify the correct operation. Fourth, verify your final answer by checking if it makes sense in the problem context—if a cake problem yields a negative answer, you know something went wrong. Fifth, write neatly and show all working; CBSE examiners award partial marks for correct method even if the final answer is incorrect due to a calculation slip. Sixth, practice a variety of problems from NCERT exercises, exemplar books and worksheets like this one to build speed and confidence. Seventh, revise reciprocal properties and the rule for division regularly until they become automatic. Following these strategies, students across CBSE schools consistently score 18-20 out of 20 in this chapter.

Convert all mixed numbers to improper fractions at the start
Simplify fractions step-by-step to reduce errors
Identify operation keywords in word problems carefully
Check if your answer makes logical sense in context
Show complete working for partial marks even if final answer is wrong
Practice diverse problems to build confidence and speed
Revise reciprocal and division rules until they are automatic

Frequently asked questions

What topics are covered in CBSE Class 7 Mathematics Chapter 8 Working with Fractions?+

Chapter 8 covers multiplication of fractions, division of fractions, finding and using reciprocals, solving word problems involving fraction operations, and comparing results of different operations on the same fractions. All these are essential NCERT topics tested in CBSE exams.

How much time should my child spend on this worksheet?+

The suggested time is 90 minutes under exam conditions. However, for initial practice or revision, students may take up to 120 minutes. Regular practice reduces time as students gain speed and confidence with fraction operations and problem-solving strategies.

Are the answers provided with explanations?+

Yes, every question in this worksheet comes with a detailed answer and step-by-step explanation in the answer key section. This allows students to self-assess, understand mistakes and learn the correct method for similar problems in future tests.

How do I convert a mixed number to an improper fraction before multiplying?+

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 3(1/2) becomes (3×2 + 1)/2 = 7/2. Always do this conversion before multiplying or dividing fractions.

What is the reciprocal and why is it important?+

The reciprocal of a fraction a/b is b/a. It is crucial because dividing by a fraction is the same as multiplying by its reciprocal. For example, 5/6 ÷ 2/3 equals 5/6 × 3/2. Mastering reciprocals simplifies division problems significantly.

Can this worksheet help my child prepare for school exams?+

Absolutely. This worksheet covers all NCERT topics from Chapter 8, includes question types seen in CBSE exams—MCQs, short-answer, long-answer, case-study—and provides a complete answer key. It is an excellent tool for revision and practice before periodic tests or annual exams.

Why does my child keep making mistakes in word problems on fractions?+

Word problems require translating language into operations. Common errors include confusing multiplication with division or misinterpreting keywords. Encourage your child to underline key phrases, draw diagrams if helpful and verify that the final answer makes sense in the problem context.

How is CBSETUTOR.ai different from YouTube videos for Mathematics doubts?+

CBSETUTOR.ai provides personalized, on-demand solutions to the exact problem your child is stuck on via photo upload. Unlike videos, which are generic and require watching entire lessons, the AI tutor answers specific questions instantly, saving time and building understanding faster. All this at ₹999/month for Classes 6-12.

What should I do if my child gets the method right but makes calculation errors?+

Calculation errors often stem from rushing or lack of practice. Encourage neat working, double-checking each step and using rough work space. Regular timed practice with worksheets builds accuracy. Platforms like CBSETUTOR.ai can help verify steps and identify where mistakes occur.

Is this worksheet aligned with the latest CBSE syllabus for 2024-25?+

Yes, this worksheet is fully aligned with the current NCERT Class 7 Mathematics syllabus and the CBSE examination pattern. It includes MCQs, case-study questions and competency-based items introduced in recent years, ensuring comprehensive and relevant practice for students.

Related resources

Important Questions: CBSE Class 7 Mathematics Chapter 8 Working with Fractions Class 7 Mathematics Chapter 8 Working with Fractions — Formulas & Key Points Class 7 Mathematics Chapter 7 A Tale of Three Intersecting Lines — Formulas & Key Points CBSE Class 7 Mathematics Chapter 7 A Tale of Three Intersecting Lines Worksheet with Answers AI Tutor for Class 7: The Smart Alternative to Tuition AI Tutor for Class 7 Science: Learn Faster with Instant Help NCERT Solutions for Class 9 Mathematics Chapter 1: Number Systems – Complete Guide CBSE Class 9 Mathematics Chapter 1 Number Systems Worksheet with Answers

Keep learning — related guides

Class 7Mathematics

CBSE Class 7 Mathematics Chapter 4 Expressions Using Letter-Numbers: mind map & revision

Class 7Mathematics

CBSE Class 7 Mathematics — Expressions Using Letter-Numbers: complete chapter guide

Class 7Mathematics

CBSE Class 7 Mathematics Chapter 4 Expressions Using Letter-Numbers — Notes

Class 7Mathematics

NCERT Solutions for CBSE Class 7 Mathematics Chapter 4: Expressions Using Letter-Numbers

Class 7Mathematics

CBSE Class 7 Mathematics Chapter 3 A Peek Beyond the Point: mind map & revision

Class 7Mathematics

CBSE Class 7 Mathematics — A Peek Beyond the Point: complete chapter guide

Ready to give your Class 7 child the tutor that never sleeps?

CBSETUTOR.ai covers every chapter in the Class 7 NCERT syllabus — Maths, Science, Social Science, English, Hindi and more. 24×7. Patient. Unlimited. 3-day free trial.

Start your child's 3-day free trial →