Class 6 Mathematics · 10 min read · Published 10 October 2026

Fractions for Class 6: How to Compare, Understand and Solve Fractions

By Dishantra Editorial · Reviewed 10 October 2026

Fractions can look like two whole numbers separated by a line. But a fraction such as 3/4 is not simply a 3 and a 4. It represents one number.

Understanding that idea makes many Class 6 fraction questions easier—from comparing fractions and finding equivalent fractions to addition, subtraction and word problems. This guide builds those ideas step by step.

1. What does a fraction mean?

Consider 3/4. The bottom number, 4, is the denominator. It tells us that one whole has been divided into 4 equal parts. The top number, 3, is the numerator. It tells us that we are considering 3 of those parts.

If a pizza is cut into four pieces of very different sizes, one piece cannot automatically be called one-fourth.

2. A fraction is also a number

Fractions are often introduced using pieces of pizza, chocolate or shapes. Those models are useful, but a fraction is more than a piece of an object. It has a position on the number line.

For example, 1/2 lies halfway between 0 and 1. The fractions 1/4, 2/4 and 3/4 also have their own positions between 0 and 1.

3. Why is 1/3 greater than 1/5?

A common mistake is to think that because 5 > 3, then 1/5 > 1/3. Instead imagine two identical rotis. Divide one into 3 equal pieces and the other into 5 equal pieces. The roti divided into 3 pieces gives the larger individual piece.

Therefore, 1/3 > 1/5.

4. How to compare fractions

There is no need to use the same method for every comparison. Choose the quickest method that still makes the quantities clear.

5. What are equivalent fractions?

The fractions 1/2, 2/4 and 3/6 look different but represent the same quantity.

So 1/2 = 2/4 = 3/6.

6. How do we create an equivalent fraction?

Suppose we want an equivalent fraction for 2/3. Multiply both numerator and denominator by the same non-zero number:

Therefore, 2/3 = 4/6 = 6/9. If only the numerator or only the denominator changes, the value changes.

7. Simplifying a fraction

Equivalent fractions also work in reverse. Both 8 and 12 are divisible by 4:

(8 ÷ 4) / (12 ÷ 4) = 2/3

So 8/12 = 2/3. The fraction has been simplified without changing its value.

8. Adding fractions with the same denominator

Consider 2/7 + 3/7. Both fractions are measured in sevenths. Two sevenths plus three sevenths equals five sevenths:

2/7 + 3/7 = 5/7

The denominator stays 7 because the pieces are still sevenths.

9. Why can't we directly add unlike fractions?

A third and a fourth are different-sized pieces. So 1/3 + 1/4 = 2/7 cannot be correct. First create a common-sized fractional unit.

10. Adding unlike fractions step by step

Calculate 2/5 + 1/4.

1. Find a common denominator. 20 is convenient for 5 and 4.
2. Create equivalent fractions. 2/5 = 8/20 and 1/4 = 5/20.
3. Add. 8/20 + 5/20 = 13/20.
4. Check. 2/5 = 0.4 and 1/4 = 0.25, so a result around 0.65 is reasonable. 13/20 = 0.65.

11. Subtracting fractions

The same principle applies to subtraction. Consider 5/6 − 1/3. Convert 1/3 to 2/6, then subtract:

5/6 − 2/6 = 3/6 = 1/2

We first create the same-sized fractional units.

12. Improper fractions and mixed numbers

7/4 means seven fourths. Four fourths make one whole, leaving three fourths. Therefore 7/4 = 1 3/4.

Going the other way, two wholes contain 6/3. Add the extra third: 2 1/3 = 6/3 + 1/3 = 7/3.

Understanding the pieces makes the conversion rule easier to remember.

13. Use the number line to understand fraction size

Which is closer to 1: 7/8 or 5/8? 7/8 is only 1/8 below 1, while 5/8 is 3/8 below 1. So 7/8 is closer.

14. Estimate before calculating

Suppose the question is 7/8 + 1/6. Before exact arithmetic, notice that 7/8 is close to 1 and 1/6 is positive, so the answer must be greater than 1.

Using twenty-fourths: 7/8 = 21/24 and 1/6 = 4/24. Therefore 21/24 + 4/24 = 25/24 = 1 1/24.

15. Fractions in word problems

Aarav has 3/4 litre of juice and uses 1/3 litre. How much remains?

The situation requires subtraction: 3/4 − 1/3 = 9/12 − 4/12 = 5/12 litre.

The difficult part of a word problem is not always the fraction calculation. Sometimes it is deciding what the situation is asking you to calculate.

16. Six quick fraction checks

17. Class 6 fractions decision map

18. Five fraction mistakes worth watching for

• Thinking 1/8 must be greater than 1/5 because 8 > 5.
• Adding denominators: 2/5 + 1/5 = 3/10 instead of 3/5.
• Combining unlike fractions directly: 1/3 + 1/4 = 2/7.
• Changing only the denominator: 1/3 = 1/6 instead of 1/3 = 2/6.
• Accepting an answer without checking whether its magnitude is possible.

For a detailed diagnosis of these and other errors, read Common Mistakes in Fractions for Class 6: 10 Errors and How to Fix Them.

A better way to practise fractions

The goal is not merely to remember a procedure. It is to understand the fraction well enough to recognise what to do when the question changes.

The central idea

Fractions become easier when they stop looking like two unrelated whole numbers. 3/4 is one number with a magnitude. It can be shown visually, placed on a number line, written in equivalent forms, compared with other numbers and used to describe real quantities.

Once that foundation is secure, comparing, simplifying, adding and subtracting fractions have reasons behind them rather than becoming isolated rules to memorise.