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About Fractions — Class 6 CBSE

Understand proper, improper, mixed fractions and decimals; perform basic operations. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 7). On this page you can practice 61 questions across three difficulty levels — 20 easy, 20 medium, and 21 hard — each with a visual step-by-step solution, plus a timed 36-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Fractions

  • Introduction to Fractions
  • Types of Fractions
  • Equivalent Fractions and Simplest Form
  • Comparing Fractions
  • Operations: Addition and Subtraction of Fractions

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

Fractions — solved examples for Class 6 CBSE

Example 1easy

Imagine a chocolate bar divided into 8 equal pieces. If you eat 3 of these pieces, what fraction of the chocolate bar have you eaten?
  1. A)3/8
  2. B)8/3
  3. C)5/8
  4. D)1/8

Step-by-step solution

  1. The total number of equal pieces in the chocolate bar is 8. This will be the denominator.
  2. The number of pieces you ate is 3. This will be the numerator.
  3. Therefore, the fraction of the chocolate bar eaten is 3/8.

Answer: 3/8

Example 2medium

A pizza is divided into 8 equal slices. If 3 slices are eaten, what fraction of the pizza is remaining?
  1. A)3/8
  2. B)5/8
  3. C)1/8
  4. D)2/8

Step-by-step solution

  1. Total number of slices = 8.
  2. Number of slices eaten = 3.
  3. Number of slices remaining = Total slices - Slices eaten = 8 - 3 = 5.
  4. Fraction of pizza remaining = (Slices remaining) / (Total slices) = 5/8.

Answer: 5/8

Example 3hard

A baker used 3/8 of a bag of flour for cakes and 1/4 of the same bag for biscuits. If the original bag contained 5 kg of flour, what fraction of the flour is left in the bag?
  1. A)3/8
  2. B)1/2
  3. C)5/8
  4. D)1/4

Step-by-step solution

  1. Fraction of flour used for cakes = 3/8.
  2. Fraction of flour used for biscuits = 1/4.
  3. Total fraction of flour used = 3/8 + 1/4. To add, find a common denominator, which is 8. So, 1/4 = 2/8. Total used = 3/8 + 2/8 = 5/8.
  4. Fraction of flour left = Whole bag - Total fraction used = 1 - 5/8 = 8/8 - 5/8 = 3/8.

Answer: 3/8

Practice questions on Fractions

  1. Q1.easy

    Which of the following statements about proper fractions is TRUE?
    1. A)The numerator is always greater than the denominator.
    2. B)The numerator is always less than the denominator.
    3. C)The numerator is always equal to the denominator.
    4. D)Proper fractions can be written as mixed fractions.
    Show answer

    Answer: The numerator is always less than the denominator.

    Hint: Think about what a proper fraction represents – a part that is less than a whole unit.

  2. Q2.easy

    The improper fraction 17/5 can be expressed as which of the following mixed fractions?
    1. A)5 (2/17)
    2. B)3 (2/5)
    3. C)2 (3/5)
    4. D)17 (1/5)
    Show answer

    Answer: 3 (2/5)

    Hint: To convert an improper fraction to a mixed fraction, divide the numerator by the denominator. The quotient is the whole number part, and the remainder becomes the new numerator.

  3. Q3.easy

    Which of the following fractions is equivalent to 2/3?
    1. A)4/9
    2. B)6/8
    3. C)10/15
    4. D)8/10
    Show answer

    Answer: 10/15

    Hint: Equivalent fractions are formed by multiplying both the numerator and the denominator by the same non-zero number.

  4. Q4.medium

    Which of the following is an improper fraction?
    1. A)2/5
    2. B)7/7
    3. C)9/4
    4. D)1/10
    Show answer

    Answer: 9/4

    Hint: Recall the definition of an improper fraction. How does the numerator relate to the denominator?

  5. Q5.medium

    Which of the following fractions is equivalent to 3/7?
    1. A)6/10
    2. B)9/21
    3. C)12/24
    4. D)15/30
    Show answer

    Answer: 9/21

    Hint: To find an equivalent fraction, multiply (or divide) both the numerator and the denominator by the same non-zero number.

  6. Q6.medium

    What is the simplest form of the fraction 18/24?
    1. A)9/12
    2. B)6/8
    3. C)3/4
    4. D)2/3
    Show answer

    Answer: 3/4

    Hint: Find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.

  7. Q7.hard

    Which of the following fractions is greater than 2/3 but less than 5/6?
    1. A)1/2
    2. B)7/12
    3. C)3/4
    4. D)11/12
    Show answer

    Answer: 3/4

    Hint: Convert all fractions to equivalent fractions with a common denominator to compare them easily. The Least Common Multiple (LCM) of 3, 6, 2, 12, and 4 is 12.

  8. Q8.hard

    Rani was asked to simplify the fraction 18/24 to its lowest terms. Her steps were:
    Step 1: Divide numerator and denominator by 2 to get 9/12.
    Step 2: Divide numerator and denominator by 3 to get 3/4.
    Step 3: Concluded that 18/24 is equivalent to 3/4.
    Where, if anywhere, did Rani make a mistake in her process of finding the lowest terms?
    1. A)Step 1 is incorrect.
    2. B)Step 2 is incorrect.
    3. C)Step 3 is incorrect.
    4. D)Rani made no mistake.
    Show answer

    Answer: Rani made no mistake.

    Hint: Remember that simplifying a fraction to its lowest terms involves dividing both the numerator and the denominator by their common factors until no more common factors (other than 1) remain.

  9. Q9.hard

    A basket contains some mangoes. 3/7 of the mangoes are ripe. If there are 24 unripe mangoes, how many mangoes are there in total in the basket?
    1. A)42
    2. B)56
    3. C)63
    4. D)72
    Show answer

    Answer: 42

    Hint: If 3/7 of the mangoes are ripe, first determine what fraction represents the unripe mangoes. Then use this fraction and the given number of unripe mangoes to find the total.

These are 9 of the 61 questions available for Fractions. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.