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About Fractions — Class 6 ICSE

Master proper, improper, and mixed fractions along with operations on fractions. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 4). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Fractions

  • Understanding Fractions: The Basics
  • Types of Fractions: Proper, Improper, and Mixed
  • Converting Between Improper and Mixed Fractions
  • Equivalent Fractions and Simplification
  • Comparing Fractions and Preparing for Operations

Interactive lesson · about 15 minutes · checkpoint question after every unit

Fractions — solved examples for Class 6 ICSE

Example 1easy

Which of the following is a proper fraction?
  1. A)7/5
  2. B)3/4
  3. C)9/9
  4. D)11/6

Step-by-step solution

  1. A proper fraction has numerator < denominator.
  2. 3 < 4, so 3/4 is a proper fraction. The others have numerator >= denominator.

Answer: 3/4

Example 2medium

Add: 2/5 + 1/3
  1. A)3/8
  2. B)11/15
  3. C)7/15
  4. D)3/15

Step-by-step solution

  1. LCM of 5 and 3 is 15.
  2. Convert:
    2/5=6/15,1/3=5/152/5 = 6/15, 1/3 = 5/15
  3. Add:
    6/15+5/15=11/156/15 + 5/15 = 11/15

Answer: 11/15

Example 3hard

Simplify: 3/4 + 5/6 − 2/3
  1. A)11/12
  2. B)5/6
  3. C)7/12
  4. D)3/4

Step-by-step solution

  1. LCM of 4, 6, 3 is 12.
  2. Convert:
    3/4=9/12,5/6=10/12,2/3=8/123/4 = 9/12, 5/6 = 10/12, 2/3 = 8/12
  3. Simplify:
    9/12+10/12−8/12=11/129/12 + 10/12 − 8/12 = 11/12

Answer: 11/12

Practice questions on Fractions

  1. Q1.easy

    Which of the following is an improper fraction?
    1. A)2/5
    2. B)4/7
    3. C)9/4
    4. D)1/3
    Show answer

    Answer: 9/4

    Hint: In an improper fraction, the numerator is greater than or equal to the denominator.

  2. Q2.easy

    Convert the mixed number 2 3/5 into an improper fraction.
    1. A)13/5
    2. B)11/5
    3. C)10/5
    4. D)8/5
    Show answer

    Answer: 13/5

    Hint: Multiply the whole number by the denominator and add the numerator.

  3. Q3.easy

    Convert 17/4 into a mixed number.
    1. A)4 1/4
    2. B)4 1/7
    3. C)3 5/4
    4. D)4 1/17
    Show answer

    Answer: 4 1/4

    Hint: Divide the numerator by the denominator. The quotient is the whole part and the remainder is the new numerator.

  4. Q4.medium

    Subtract: 5/6 − 1/4
    1. A)4/2
    2. B)7/12
    3. C)4/6
    4. D)10/12
    Show answer

    Answer: 7/12

    Hint: Find the LCM of 6 and 4, convert both fractions, then subtract.

  5. Q5.medium

    Which is greater: 3/4 or 5/7?
    1. A)3/4
    2. B)5/7
    3. C)Both are equal
    4. D)Cannot be determined
    Show answer

    Answer: 3/4

    Hint: Cross-multiply to compare: 3 × 7 and 5 × 4.

  6. Q6.medium

    Simplify: 36/48
    1. A)3/4
    2. B)6/8
    3. C)9/12
    4. D)4/6
    Show answer

    Answer: 3/4

    Hint: Find the HCF of 36 and 48 and divide both by it.

  7. Q7.hard

    Subtract: 7 1/6 − 3 5/8
    1. A)3 13/24
    2. B)4 1/24
    3. C)3 1/2
    4. D)4 13/24
    Show answer

    Answer: 3 13/24

    Hint: Convert to improper fractions. LCM of 6 and 8 is 24.

  8. Q8.hard

    A farmer uses 2/5 of his land for wheat, 1/4 for rice, and the rest for vegetables. What fraction of land is used for vegetables?
    1. A)7/20
    2. B)3/20
    3. C)13/20
    4. D)1/3
    Show answer

    Answer: 7/20

    Hint: Add the fractions for wheat and rice, then subtract from 1.

  9. Q9.hard

    Find the product: 2 2/5 × 1 1/4
    1. A)2 1/2
    2. B)3
    3. C)3 1/4
    4. D)2 3/4
    Show answer

    Answer: 3

    Hint: Convert both mixed numbers to improper fractions and multiply.

These are 9 of the 60 questions available for Fractions. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.