Fractions Class 6 Worksheet

Fractions can feel tricky at first, but with the right practice, children quickly gain confidence. Our fractions class 6 worksheet collection is designed to make learning simple, clear, and enjoyable for students. These worksheets help children understand concepts step by step, improve problem-solving skills, and prepare effectively for school exams.

At CBSEClassWorksheets, all worksheets are carefully aligned with the CBSE syllabus, ensuring your child practices exactly what is taught in school. Each class 6 fraction worksheet with answers is available in easy-to-download PDF format, making it convenient for both home and classroom use. With answers included, parents can easily guide their child and track progress without confusion.

Class 6 Fraction Worksheet with Answers

What are Fractions?

A fraction represents a part of a whole.
Example: If a pizza is cut into 4 equal parts and you eat 1 slice, it is written as 1/4.

Parts of a Fraction

A fraction has two parts:

  • Numerator (top number): shows parts taken
  • Denominator (bottom number): shows total equal parts
    Example: In 3/5, 3 is numerator and 5 is denominator

Types of Fractions

  • Proper Fraction: Numerator < Denominator (e.g., 3/7)
  • Improper Fraction: Numerator ≥ Denominator (e.g., 9/5)
  • Mixed Fraction: Whole number + fraction (e.g., 1 2/3)
  • Unit Fraction: Numerator = 1 (e.g., 1/8)

Conversion of Improper Fraction to Mixed Fraction

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. A mixed fraction has a whole number and a proper fraction together.

To convert an improper fraction into a mixed fraction:

  1. Divide the numerator by the denominator
  2. Write the quotient as the whole number
  3. Write the remainder as the numerator of the fraction
  4. Keep the denominator the same

Example 1

Convert 9/4 into a mixed fraction.

9 ÷ 4 = 2 remainder 1

So,
9/4 = 2 1/4

Example 2

Convert 17/5 into a mixed fraction.

17 ÷ 5 = 3 remainder 2

So,
17/5 = 3 2/5

This method helps students understand how many complete wholes are present in the fraction.

Equivalent Fractions

Equivalent fractions are fractions that look different but represent the same value.

We get equivalent fractions by:

  • Multiplying numerator and denominator by the same number, or
  • Dividing numerator and denominator by the same number

Example 1

1/2 = 2/4

Multiply numerator and denominator by 2:

1 × 2 / 2 × 2 = 2/4

Example 2

3/5 = 6/10

Multiply numerator and denominator by 2.

Important Point

Equivalent fractions always represent the same portion of a whole.

For example, half a pizza can be written as:
1/2, 2/4, or 4/8.

Simplest Form (Lowest Terms)

A fraction is in its simplest form when the numerator and denominator have no common factor except 1.

1. Using HCF

The Highest Common Factor (HCF) is the greatest number that divides both numerator and denominator exactly.

Example

Simplify 12/18

Factors of 12 → 1, 2, 3, 4, 6, 12
Factors of 18 → 1, 2, 3, 6, 9, 18

HCF = 6

Now divide both by 6:

12 ÷ 6 = 2
18 ÷ 6 = 3

So, 12/18 = 2/3

2. Using Prime Factorisation

Break numerator and denominator into prime factors and cancel common factors.

Example

Simplify 24/36

24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3

Cancel common factors:
2 × 2 × 3

Remaining:
2/3

So, 24/36 = 2/3

This method helps students clearly see which factors are common.

3. Stepwise Cancellation

In this method, we reduce the fraction gradually.

Example

Simplify 16/24

Step 1:
16/24 ÷ 2 = 8/12

Step 2:
8/12 ÷ 2 = 4/6

Step 3:
4/6 ÷ 2 = 2/3

Final Answer = 2/3

This method is useful when students cannot quickly find the HCF.

Comparing Fractions

A fraction is in its simplest form when the numerator and denominator have no common factor except 1.

1. Using HCF

The Highest Common Factor (HCF) is the greatest number that divides both numerator and denominator exactly.

Example

Simplify 12/18

Factors of 12 → 1, 2, 3, 4, 6, 12
Factors of 18 → 1, 2, 3, 6, 9, 18

HCF = 6

Now divide both by 6:

12 ÷ 6 = 2
18 ÷ 6 = 3

So, 12/18 = 2/3

2. Using Prime Factorisation

Break numerator and denominator into prime factors and cancel common factors.

Example

Simplify 24/36

24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3

Cancel common factors:
2 × 2 × 3

Remaining:
2/3

So, 24/36 = 2/3

This method helps students clearly see which factors are common.

3. Stepwise Cancellation

In this method, we reduce the fraction gradually.

Example

Simplify 16/24

Step 1:
16/24 ÷ 2 = 8/12

Step 2:
8/12 ÷ 2 = 4/6

Step 3:
4/6 ÷ 2 = 2/3

Final Answer = 2/3

This method is useful when students cannot quickly find the HCF.

Addition and Subtraction of Fractions

Addition of Like Fractions

Like fractions have the same denominator.

Rule:

Add numerators and keep the denominator same.

Example

2/7 + 3/7

= (2 + 3)/7
= 5/7

Addition of Unlike Fractions

Unlike fractions have different denominators.

Steps:

  1. Find LCM of denominators
  2. Convert into equivalent fractions
  3. Add numerators

Example

1/3 + 1/4

LCM of 3 and 4 = 12

1/3 = 4/12
1/4 = 3/12

Now add:

4/12 + 3/12 = 7/12

Subtraction of Like Fractions

Example

7/9 – 2/9

= (7 – 2)/9
= 5/9

Keep the denominator same and subtract numerators.

Subtraction of Unlike Fractions

Example

5/6 – 1/4

LCM of 6 and 4 = 12

5/6 = 10/12
1/4 = 3/12

Now subtract:

10/12 – 3/12 = 7/12