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CBSE Class 6 Mathematics Chapter 7 Fractions Worksheet with Answers

Fractions form the backbone of number sense in middle school mathematics, appearing in real-life contexts from dividing pizza slices to calculating sale discounts. This CBSE Class 6 Mathematics Chapter 7 Fractions worksheet aligns completely with the latest NCERT curriculum and offers structured, graded practice on all six topic areas. Students will strengthen their understanding of equivalent fractions, master comparing and ordering, and confidently perform addition and subtraction of like and unlike fractions.

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Key takeaways

  • ✓Worksheet targets NCERT Class 6 Mathematics Chapter 7 with 30+ questions across five difficulty-graded sections plus a case-study
  • ✓Covers all six core topics: like/unlike fractions, equivalence, comparison, operations, number line placement, and decimal forms
  • ✓Difficulty level is Medium; suggested completion time is 90 minutes under exam conditions
  • ✓Answer key provides step-by-step explanations for every MCQ, fill-in-the-blank, short and long question
  • ✓Includes Higher Order Thinking Skills (HOTS) questions to prepare students for application-based problems in CBSE exams
  • ✓Case-study question mirrors the new CBSE competency-based assessment pattern introduced from 2023-24
  • ✓Print-friendly format suitable for home practice, school assignments, or tuition homework

Quick Chapter Recap: Fractions (NCERT Class 6 Mathematics Chapter 7)

Before you attempt the worksheet, refresh these fundamental concepts from Chapter 7. A fraction represents a part of a whole and is written as numerator/denominator. Like fractions share the same denominator (for example, 2/7 and 5/7), making addition and subtraction straightforward. Unlike fractions have different denominators (3/4 and 5/6) and require finding a common denominator before operations. Equivalent fractions represent the same value; multiply or divide both numerator and denominator by the same non-zero number to generate them. To compare fractions, either convert to like fractions or use cross-multiplication. Fractions can be plotted on a number line by dividing the unit segment into equal parts matching the denominator. Finally, fractions with denominators 10, 100, 1000, etc., convert neatly to decimal representation. Mastery of these six areas ensures a strong foundation for algebra and higher mathematics.
  • Like fractions: same denominator, easy to add or subtract directly
  • Unlike fractions: different denominators, find LCM to convert to like fractions
  • Equivalent fractions: multiply/divide numerator and denominator by the same number
  • Comparing fractions: make denominators equal or use cross-multiplication
  • Number line: divide unit into equal parts matching the denominator
  • Decimal fractions: denominator powers of 10 (e.g., 3/10 = 0.3)

Worksheet Information and Instructions

This worksheet is designed for a 90-minute timed practice session under exam-like conditions. The difficulty level is Medium, calibrated to match typical CBSE Class 6 term examination standards. Students should attempt all sections in sequence without referring to notes or textbooks initially, then review answers using the detailed answer key provided at the end. Use a pencil and eraser for neatness, and show all working clearly in the margins or on rough paper. Marks distribution mirrors the CBSE pattern: MCQs carry 1 mark each, fill-in-the-blanks 1 mark each, matching/true-false 1 mark each, short-answer questions 2 marks each, long-answer and HOTS questions 3 marks each, and the case-study carries 4 marks. Total marks for this worksheet sum to 50. Parents can use this as a weekly assessment tool; teachers may adapt it for classroom quizzes or homework assignments. For students struggling with foundational concepts, CBSETUTOR.ai offers 24×7 AI-powered tutoring with photo-upload doubt solving at a flat ₹999/month across all classes 6-12, with a 3-day free trial to explore the platform.
  • Duration: 90 minutes
  • Difficulty: Medium (aligned to CBSE term exam standards)
  • Total marks: 50
  • Attempt all sections sequentially; show complete working
  • Use the answer key only after finishing the entire worksheet
  • Ideal for weekly self-assessment or pre-exam revision

Section A: Multiple Choice Questions (1 mark each)

Select the correct option for each question. Each MCQ tests a specific concept from NCERT Class 6 Mathematics Chapter 7, ranging from identification of like fractions to operations and decimal conversions. Write only the option letter (A, B, C or D) in your answer sheet. No negative marking applies. These questions mirror the objective-type items introduced in the CBSE competency-based pattern from the 2023-24 session onward. Careful reading is essential; watch for keywords such as 'not', 'greatest', 'smallest', and 'equivalent'. Time allocation: aim to finish Section A in 12-15 minutes, leaving ample time for descriptive sections later.
  • Q1. Which pair represents like fractions? (A) 3/8 and 5/8 (B) 2/5 and 3/7 (C) 4/9 and 4/11 (D) 1/3 and 2/6
  • Q2. The fraction equivalent to 3/4 is: (A) 6/10 (B) 9/12 (C) 12/15 (D) 15/18
  • Q3. Arrange in ascending order: 2/5, 3/5, 1/5. (A) 1/5, 2/5, 3/5 (B) 3/5, 2/5, 1/5 (C) 2/5, 1/5, 3/5 (D) 1/5, 3/5, 2/5
  • Q4. 7/10 in decimal form is: (A) 0.07 (B) 0.7 (C) 7.0 (D) 0.007
  • Q5. Which fraction is greater: 5/6 or 7/8? (A) 5/6 (B) 7/8 (C) Both equal (D) Cannot determine
  • Q6. The sum of 2/9 and 4/9 is: (A) 6/18 (B) 6/9 (C) 2/3 (D) Both B and C
  • Q7. The fraction lying between 1/4 and 1/2 on the number line is: (A) 1/3 (B) 2/5 (C) 3/8 (D) All of these

Section B: Fill in the Blanks (1 mark each)

Complete each statement with the correct word, number or fraction. These questions assess recall and basic computation skills from Chapter 7. Write your answers clearly; spelling and notation matter, especially for mathematical terms like 'numerator' and 'denominator'. Review the NCERT Class 6 Mathematics textbook definitions if you are unsure of terminology. Partial credit is not awarded for fill-in-the-blank items, so double-check each answer before moving on. Allocate approximately 10 minutes for this section. Some blanks require arithmetic (e.g., simplifying a fraction), while others test vocabulary (e.g., 'like fractions have the same ________').
  • Q8. Fractions with the same denominator are called ________ fractions.
  • Q9. 5/8 and 15/24 are ________ fractions because they represent the same value.
  • Q10. To compare 3/7 and 5/9, we convert them to like fractions by finding the ________.
  • Q11. 4/5 in decimal form is ________.
  • Q12. The sum of 1/6 and 1/6 is ________.
  • Q13. On a number line, 3/4 lies between the whole numbers ________ and ________.
  • Q14. When we multiply both numerator and denominator of 2/3 by 4, we get ________.

Section C: Match the Following (1 mark each)

Match items in Column A with the correct responses in Column B. Write the paired letters (for example, 1-D, 2-A) in your answer sheet. Each correct pairing earns 1 mark; there is no partial credit. This section evaluates your ability to connect related concepts such as a fraction and its equivalent form, a fraction and its decimal, or a term and its definition. Spend about 8 minutes here. Read all options in Column B before making your choices, as some entries may appear similar at first glance. Cross out matched items mentally to avoid reusing an option.
  • Column A: (1) 1/2, (2) Like fractions, (3) 3/5 on number line, (4) 7/10, (5) Equivalent to 4/6
  • Column B: (A) 0.7, (B) Fractions with same denominator, (C) Between 0 and 1 closer to 1, (D) 2/3, (E) 50/100

Section D: Short Answer Questions (2 marks each)

Answer each question in 2-3 sentences or show clear working with final answer. Each short-answer item is worth 2 marks: typically 1 mark for method/process and 1 mark for the correct final answer. These questions demand procedural fluency—converting unlike fractions to like fractions, simplifying, or plotting on a number line. Allocate roughly 20 minutes for Section D. Write neatly and label your steps; examiners award partial marks for correct intermediate steps even if the final answer contains a minor arithmetic slip. Class 6 Mathematics solutions and notes emphasize step-by-step working, so adopt that habit here. If a question asks 'show on a number line', draw a clean line segment, mark 0 and 1, divide appropriately, and label the fraction clearly.
  • Q15. Convert 2/3 and 5/6 into like fractions and then find their sum.
  • Q16. Write three equivalent fractions for 4/7.
  • Q17. Compare 5/8 and 7/12 using cross-multiplication. Which is greater?
  • Q18. Subtract 2/9 from 5/9 and express the answer in simplest form.
  • Q19. Represent 3/5 on a number line by dividing the unit into five equal parts.

Section E: Long Answer and HOTS Questions (3 marks each)

These questions test deeper understanding and application skills. Each carries 3 marks distributed as: 1 mark for correct method/approach, 1 mark for accurate computation, and 1 mark for clarity of presentation or final interpretation. Higher Order Thinking Skills (HOTS) items may combine multiple concepts—for instance, arranging unlike fractions, then adding the smallest and largest. Read the question twice before starting; underline keywords like 'arrange', 'simplify', 'compare', or 'explain'. Show every calculation step; if you make an error early on, you can still earn method marks. Reserve about 25 minutes for Section E. CBSE Class 6 Mathematics exams increasingly include such application-based problems to assess conceptual depth rather than rote memorization.
  • Q20. Arrange the fractions 3/4, 5/8, 7/12 in ascending order by converting them to like fractions. Show complete working.
  • Q21. A ribbon of length 7/8 metre is cut into two pieces. If one piece is 3/8 metre, find the length of the other piece. Express in simplest form.
  • Q22. (HOTS) Ravi ate 2/5 of a cake and Priya ate 1/3 of the same cake. Who ate more? By what fraction is one share greater than the other?

Section F: Case-Study Question (4 marks)

Read the real-life scenario carefully and answer the sub-questions that follow. Case-study items mirror the competency-based assessment pattern introduced by CBSE from the 2023-24 academic year. They evaluate your ability to extract data, apply Chapter 7 concepts—like fractions, equivalent fractions, and operations—and interpret results in context. Marks are split across sub-parts; typically two 1-mark questions and one 2-mark question. Spend approximately 12 minutes on this section. Write answers in complete sentences where interpretation is asked; for numerical sub-parts, show all working. This format appears in CBSE sample papers and helps bridge the gap between textbook exercises and real-world problem solving.

Answer Key with Explanations

Use this section only after completing the entire worksheet. Each answer includes a brief explanation or working so you can identify exactly where mistakes occurred. Tick correct answers and revisit concepts for any errors. If you score below 60 per cent, revise the NCERT Class 6 Mathematics Chapter 7 textbook thoroughly before attempting another practice set. For personalized doubt-clearing and instant step-by-step solutions via photo upload, explore CBSETUTOR.ai—India's first AI tutor offering unlimited question solving at ₹999/month for all classes 6-12, with a 3-day free trial. Parents report that regular worksheet practice combined with on-demand AI help boosts confidence and exam scores significantly. Below are complete answers for all sections A through F.
  • Section A Answers: Q1–A (both have denominator 8), Q2–B (3×3=9, 4×3=12), Q3–A (ascending means smallest to largest), Q4–B (7 divided by 10 is 0.7), Q5–B (cross-multiply: 5×8=40, 7×6=42; 42>40), Q6–D (2/9+4/9=6/9=2/3, so both B and C are correct), Q7–D (1/3≈0.33, 2/5=0.4, 3/8=0.375 all lie between 0.25 and 0.5)
  • Section B Answers: Q8–like, Q9–equivalent, Q10–LCM (Least Common Multiple), Q11–0.8, Q12–2/6 or 1/3, Q13–0 and 1, Q14–8/12
  • Section C Answers: 1–E, 2–B, 3–C, 4–A, 5–D
  • Section D Answers: Q15: LCM(3,6)=6; 2/3=4/6; sum=4/6+5/6=9/6=3/2. Q16: 8/14, 12/21, 16/28 (multiply by 2,3,4). Q17: 5×12=60, 7×8=56; 60>56 so 5/8 is greater. Q18: 5/9−2/9=3/9=1/3. Q19: Draw line, mark 0 and 1, divide into 5 equal segments, mark the third point as 3/5.
  • Section E Answers: Q20: LCM(4,8,12)=24; 3/4=18/24, 5/8=15/24, 7/12=14/24; ascending order: 7/12, 5/8, 3/4. Q21: Total=7/8, one piece=3/8, other=7/8−3/8=4/8=1/2 metre. Q22: LCM(5,3)=15; 2/5=6/15, 1/3=5/15; Ravi ate more by 1/15.
  • Section F Answers: (i) Plot D uses 1/2=8/16, Plot A uses 6/16, Plot C uses 5/16, Plot B uses 4/16; greatest is 1/2 (Plot D). (ii) 1/4=4/16. (iii) Combined: 3/8+5/16; LCM(8,16)=16; 3/8=6/16; sum=6/16+5/16=11/16.

How to Use This Worksheet Effectively

Maximize learning by following a three-step cycle: Attempt—Review—Revise. First, set a timer for 90 minutes and complete the worksheet in one sitting without any reference material, simulating exam pressure. This builds time-management skills and reveals your current level of mastery. Second, use the detailed answer key to mark your responses; for every mistake, write a one-sentence note explaining the correct method. Third, revisit the corresponding section in your NCERT Class 6 Mathematics textbook and solve 2-3 similar exercises. Repeat this cycle weekly with fresh worksheets to track improvement. Parents should check not just the final score but also the pattern of errors—consistent mistakes in 'comparing fractions' or 'operations on unlike fractions' signal the need for targeted revision. Teachers can adapt this worksheet for group activities: project Section A on the board for a quick quiz, or assign Section E as homework with peer-review sessions. Integrating digital tools like CBSETUOR.ai ensures students receive instant, personalized explanations for every doubt, reinforcing classroom teaching around the clock.
  • Step 1: Timed attempt (90 minutes, no notes)
  • Step 2: Self-assess using the answer key, noting errors
  • Step 3: Revise weak topics from NCERT textbook and re-attempt similar questions
  • Weekly practice cycle to monitor progress and build exam readiness
  • Parents: focus on error patterns, not just total marks
  • Teachers: use sections as modular quizzes or homework assignments

Common Mistakes and How to Avoid Them

Students often stumble on a handful of recurring pitfalls when working with fractions. One frequent error is adding or subtracting unlike fractions directly without finding a common denominator; always convert to like fractions first. Another mistake is forgetting to simplify the final answer—CBSE marking schemes award full marks only when fractions are in simplest form. When comparing fractions, some learners compare numerators alone, ignoring denominators; use the LCM method or cross-multiplication rigorously. On the number line, dividing the unit into the wrong number of parts leads to incorrect placement—count segments carefully to match the denominator. For equivalent fractions, multiplying the numerator by one number and the denominator by another breaks the equality rule; the multiplier must be the same for both. Finally, decimal conversions trip up students who miscount zeros—7/10 is 0.7, not 0.07. Slow down, show every step, and double-check arithmetic. Regular practice with worksheets like this one ingrains correct procedures and reduces careless slips under exam pressure.
  • Do not add/subtract unlike fractions directly; find LCM first
  • Always express final answers in simplest form
  • Compare fractions by making denominators equal, not just numerators
  • On number lines, divide the segment into parts equal to the denominator
  • For equivalent fractions, multiply/divide numerator and denominator by the same number
  • Decimal conversion: 7/10=0.7 (one decimal place for tens), 7/100=0.07 (two places for hundreds)

Linking Fractions to Real Life and Higher Classes

Understanding fractions in Class 6 lays the groundwork for ratio and proportion in Class 7, algebraic fractions in Class 8, and probability in Classes 9-10. In everyday life, fractions appear in cooking (half a teaspoon), shopping (one-third off during sales), time (quarter past the hour), and measurements (three-quarters of a kilometre). Recognizing these connections makes the topic less abstract and more engaging. For instance, when a recipe calls for 2/3 cup of sugar and you want to make half the recipe, you multiply 2/3 by 1/2 to get 2/6 or 1/3 cup—direct application of fraction operations. CBSE exams increasingly include word problems set in real contexts, so practicing case studies and HOTS questions is essential. Parents can reinforce learning by involving children in practical tasks: dividing a pizza, measuring fabric for a project, or calculating discount percentages. This contextual practice builds number sense and ensures that fraction skills transfer beyond the classroom, preparing students for both board exams and competitive entrance tests in later years.
  • Fractions underpin ratio, proportion, and percentage in Classes 7-8
  • Real-life uses: cooking measurements, sale discounts, time-telling, distances
  • Word problems in CBSE exams test application in everyday scenarios
  • Practical activities at home (dividing food, measuring cloth) reinforce concepts
  • Strong fraction skills ease the transition to algebra and probability in higher classes

Frequently asked questions

What topics from NCERT Class 6 Mathematics Chapter 7 does this worksheet cover?+
The worksheet covers all six key areas: like and unlike fractions, equivalent fractions, comparing and ordering fractions, operations (addition and subtraction), representing fractions on a number line, and converting fractions to decimal form. Each section is designed to test these concepts progressively.
How much time should my child spend on this fractions worksheet?+
The recommended duration is 90 minutes under timed, exam-like conditions. This allows 12-15 minutes for MCQs, 10 minutes for fill-in-the-blanks, 8 minutes for matching, 20 minutes for short answers, 25 minutes for long answers and HOTS, and 12 minutes for the case study, with buffer time for review.
Is the difficulty level suitable for an average CBSE Class 6 student?+
Yes, the difficulty is calibrated to Medium, matching typical term examination standards. Questions progress from basic recall (MCQs, fill-in-the-blanks) to application and analysis (short answers, HOTS, case study), ensuring all students find accessible entry points while being challenged appropriately.
Why does the answer key include explanations instead of just final answers?+
Explanations help students understand the correct method and identify exactly where they went wrong. This self-assessment approach builds independent learning habits and ensures that mistakes become learning opportunities rather than sources of frustration. It mirrors the step-wise marking in CBSE exams.
Can I use this worksheet for school assignments or home practice?+
Absolutely. Teachers can assign it as homework or use individual sections as quick quizzes. Parents can print it for weekly practice sessions at home. The print-friendly format and comprehensive answer key make it versatile for both classroom and self-study environments.
What are HOTS questions and why are they included in Section E?+
Higher Order Thinking Skills (HOTS) questions require students to apply concepts in new contexts, analyze multi-step problems, and synthesize information. CBSE includes HOTS items in exams to assess deeper understanding beyond rote learning. Practicing them prepares students for application-based exam questions.
How do I help my child if they score poorly on this worksheet?+
First, review the answer key together to pinpoint weak topics—perhaps comparing fractions or operations on unlike fractions. Then revisit those sections in the NCERT Class 6 Mathematics textbook and solve additional exercises. For personalized, on-demand help, platforms like CBSETUTOR.ai offer 24×7 AI tutoring with photo-upload doubt solving at ₹999/month, ensuring no question goes unanswered.
Does this worksheet align with the latest CBSE exam pattern?+
Yes, it mirrors the competency-based assessment pattern introduced by CBSE from 2023-24, including objective MCQs, case-study questions, and HOTS items. The marks distribution and question styles reflect what students will encounter in school tests and board exams.
What are equivalent fractions and how do I generate them?+
Equivalent fractions represent the same value but have different numerators and denominators. To create them, multiply or divide both the numerator and denominator by the same non-zero integer. For example, 2/3 becomes 4/6 (multiply by 2) or 6/9 (multiply by 3), all representing the same quantity.
Why is simplifying fractions to the lowest form important?+
Simplifying makes fractions easier to understand and compare, and it is a CBSE marking requirement. For instance, 6/9 simplified to 2/3 immediately shows the relationship more clearly. Examiners often deduct marks if the final answer is not in simplest form, so always check for common factors.

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