Loading...

About Fractions & Decimals — Class 7 ICSE

Perform advanced operations on fractions and decimals including multiplication and division. This topic is part of the ICSE Class 7 mathematics syllabus (chapter: Chapter 2). 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 & Decimals

  • Types of Fractions
  • Addition and Subtraction of Fractions
  • Multiplication and Division of Fractions
  • Converting Fractions and Decimals
  • Operations on Decimals & Review

Interactive lesson · about 20 minutes · checkpoint question after every unit

Fractions & Decimals — solved examples for Class 7 ICSE

Example 1easy

What is 2/5 + 1/5?
  1. A)3/5
  2. B)3/10
  3. C)2/10
  4. D)1/5

Step-by-step solution

  1. Same denominator, so add numerators:
  2. 2/5 + 1/5
    =(2+1)/5=3/5= (2 + 1)/5 = 3/5

Answer: 3/5

Example 2medium

What is 2 1/3 + 1 2/5?
  1. A)3 11/15
  2. B)3 3/8
  3. C)4 1/15
  4. D)3 7/15

Step-by-step solution

  1. Convert: 2 1/3 = 7/3 and 1 2/5 = 7/5
  2. LCM of 3 and 5 = 15: 7/3 = 35/15, 7/5 = 21/15
  3. Add:
    35/15+21/15=56/15=311/1535/15 + 21/15 = 56/15 = 3 11/15

Answer: 3 11/15

Example 3hard

Simplify: (2 1/3 - 1 1/4) × (1 1/2 + 2/3)
  1. A)2 5/12
  2. B)29/12
  3. C)Both 2 5/12 and 29/12
  4. D)3 1/12

Step-by-step solution

  1. First bracket: 7/3 - 5/4 = 28/12 - 15/12 = 13/12
  2. Second bracket: 3/2 + 2/3 = 9/6 + 4/6 = 13/6
  3. Multiply:
    13/12×13/6=169/72=225/7213/12 × 13/6 = 169/72 = 2 25/72

Answer: Both 2 5/12 and 29/12

Practice questions on Fractions & Decimals

  1. Q1.easy

    Convert 3/4 to a decimal.
    1. A)0.75
    2. B)0.34
    3. C)0.43
    4. D)1.33
    Show answer

    Answer: 0.75

    Hint: Divide the numerator by the denominator: 3 ÷ 4.

  2. Q2.easy

    What is 7/8 - 3/8?
    1. A)4/8
    2. B)1/2
    3. C)4/16
    4. D)Both 4/8 and 1/2
    Show answer

    Answer: Both 4/8 and 1/2

    Hint: Subtract numerators when denominators are equal. Then simplify.

  3. Q3.easy

    What is 2/3 × 6?
    1. A)4
    2. B)12/3
    3. C)2
    4. D)8/3
    Show answer

    Answer: 4

    Hint: Multiply the numerator by 6 and keep the denominator.

  4. Q4.medium

    What is 3 1/2 × 2/7?
    1. A)1
    2. B)7/7
    3. C)6/7
    4. D)1 1/7
    Show answer

    Answer: 1

    Hint: Convert the mixed number to an improper fraction first, then multiply.

  5. Q5.medium

    Evaluate: 0.125 × 8
    1. A)1.000
    2. B)10.00
    3. C)0.1
    4. D)100
    Show answer

    Answer: 1.000

    Hint: 0.125 = 1/8. What is 1/8 × 8?

  6. Q6.medium

    A rope is 8 3/4 m long. If 2 1/2 m is cut off, how much rope remains?
    1. A)6 1/4 m
    2. B)6 3/4 m
    3. C)5 1/4 m
    4. D)6 1/2 m
    Show answer

    Answer: 6 1/4 m

    Hint: Subtract: 8 3/4 - 2 1/2. Convert to the same denominator.

  7. Q7.hard

    The sum of two numbers is 5 3/4. If one number is 2 5/8, find the other number.
    1. A)3 1/8
    2. B)2 1/8
    3. C)3 3/8
    4. D)8 3/8
    Show answer

    Answer: 3 1/8

    Hint: Subtract the known number from the sum.

  8. Q8.hard

    Evaluate: 3.6 × 0.25 + 4.8 × 0.25 - 0.4 × 0.25
    1. A)2.0
    2. B)2.00
    3. C)Both 2.0 and 2.00
    4. D)20
    Show answer

    Answer: 2.0

    Hint: Factor out 0.25 using the distributive property.

  9. Q9.hard

    A box weighs 5.75 kg. It contains 12 identical items, and the empty box weighs 0.95 kg. What does each item weigh?
    1. A)0.4 kg
    2. B)0.48 kg
    3. C)0.40 kg
    4. D)0.5 kg
    Show answer

    Answer: 0.4 kg

    Hint: First subtract the box weight, then divide by the number of items.

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