Introduction to Fractions
A fraction represents a part of a whole. When you cut a roti into 2 equal pieces and eat 1, you have eaten one-half or 1/2 of the roti.
In Class 3, you learn to read, write, and understand fractions using shapes, objects, and everyday examples.
What is Introduction to Fractions - Class 3 Maths (Fractions)?
A fraction is a number that shows equal parts of a whole. It is written as two numbers with a line between them:
Numerator
———————
Denominator
- The numerator (top number) tells how many parts are taken.
- The denominator (bottom number) tells how many equal parts the whole is divided into.
Example: 3/4 means the whole is divided into 4 equal parts, and 3 parts are taken.
Types and Properties
Common fractions in Class 3:
| Fraction | Read As | Meaning |
|---|---|---|
| 1/2 | One-half | 1 part out of 2 equal parts |
| 1/3 | One-third | 1 part out of 3 equal parts |
| 1/4 | One-quarter | 1 part out of 4 equal parts |
| 2/3 | Two-thirds | 2 parts out of 3 equal parts |
| 3/4 | Three-quarters | 3 parts out of 4 equal parts |
Key rule: For a fraction to be valid, the parts must be equal in size.
Solved Examples
Example 1: Fraction of a Shape
Question: A circle is divided into 4 equal parts. 1 part is coloured. What fraction is coloured?
Think:
- Total parts = 4
- Coloured parts = 1
- Fraction = 1/4
Answer: 1/4 of the circle is coloured.
Example 2: Fraction of Food
Question: Ria cuts a pizza into 8 equal slices and eats 3. What fraction did she eat?
Think:
- Total slices = 8
- Slices eaten = 3
- Fraction = 3/8
Answer: Ria ate 3/8 of the pizza.
Example 3: Identifying Numerator and Denominator
Question: In the fraction 5/6, what is the numerator and denominator?
Think:
- Top number = 5 → numerator
- Bottom number = 6 → denominator
Answer: Numerator = 5, Denominator = 6.
Example 4: Not a Fraction — Unequal Parts
Question: A rectangle is divided into 3 parts, but the parts are not equal. Can you write a fraction for one part?
Think:
- Fractions need equal parts.
- If the parts are unequal, we cannot use a fraction.
Answer: No. Fractions require equal-sized parts.
Example 5: Fraction = 1 Whole
Question: A chapati is cut into 4 equal parts. Aman eats all 4 parts. What fraction did he eat?
Think:
- Parts eaten = 4, total parts = 4
- Fraction = 4/4 = 1 (the whole chapati)
Answer: Aman ate 4/4 = 1 whole chapati.
Example 6: Reading a Fraction
Question: How do you read 2/5?
Think:
- Numerator = 2, denominator = 5
- Read as "two-fifths"
Answer: 2/5 is read as "two-fifths".
Example 7: Writing a Fraction from a Picture
Question: A strip is divided into 6 equal parts. 4 parts are shaded. Write the fraction shaded and unshaded.
Think:
- Shaded = 4/6
- Unshaded = 6 − 4 = 2, so unshaded = 2/6
Answer: Shaded = 4/6, Unshaded = 2/6.
Example 8: Word Problem
Question: Neha has a chocolate bar divided into 5 equal pieces. She gives 2 pieces to her brother. What fraction did she give away?
Think:
- Total pieces = 5, given away = 2
- Fraction given = 2/5
Answer: Neha gave away 2/5 of the chocolate bar.
Example 9: Fraction of Zero Parts
Question: A cake is cut into 3 equal parts. No part is eaten. What fraction is eaten?
Think:
- Parts eaten = 0, total = 3
- Fraction = 0/3 = 0
Answer: 0/3 = 0. No part of the cake is eaten.
Key Points to Remember
- A fraction represents equal parts of a whole.
- Numerator (top) = number of parts taken.
- Denominator (bottom) = total equal parts.
- Parts must be equal in size for a valid fraction.
- When numerator = denominator, the fraction = 1 (whole).
- When numerator = 0, the fraction = 0.
- Fractions are used for shapes, food items, collections, and measurements.
Practice Problems
- A square is divided into 4 equal parts. 3 parts are coloured. What fraction is coloured?
- Write the numerator and denominator of 7/8.
- Aman eats 2 slices of a pizza that has 6 equal slices. What fraction did he eat?
- A strip is divided into 5 equal parts. 5 parts are shaded. What fraction is shaded?
- Priya has a ribbon divided into 3 equal parts. She uses 1 part. What fraction is left?
- Is 3 parts out of 4 unequal parts a fraction? Why or why not?
- How do you read the fraction 4/9?
Frequently Asked Questions
Q1. What is a fraction?
A fraction is a number that shows equal parts of a whole. For example, 1/2 means 1 part out of 2 equal parts.
Q2. What is the numerator?
The numerator is the top number in a fraction. It tells how many parts are taken or shaded.
Q3. What is the denominator?
The denominator is the bottom number. It tells how many equal parts the whole is divided into.
Q4. Why must the parts be equal?
If parts are not equal, we cannot say what fraction each part represents. Fractions only work when the whole is divided into parts of the same size.
Q5. What does 4/4 mean?
It means all 4 parts out of 4 are taken, which equals 1 whole. Any fraction where the numerator equals the denominator is 1.
Q6. Can the numerator be 0?
Yes. 0/5 means no parts are taken, so the value is 0.
Q7. Can the numerator be greater than the denominator?
Yes. Such fractions are called improper fractions (e.g., 5/3). You will learn about them in higher classes.
Q8. Is this topic in the NCERT Class 3 textbook?
Yes. NCERT Class 3 Maths introduces fractions using shapes, food items, and collections, focusing on halves, thirds, and quarters.
Q9. What are some real-life examples of fractions?
Half a roti, a quarter of a pizza, 1/3 of a chocolate bar, half an hour (30 minutes), and 3/4 of a glass of water are everyday fractions.
Related Topics
- Half and Quarter
- Numerator and Denominator
- Fractions of a Collection
- Comparing Fractions (Grade 3)
- Equivalent Fractions (Grade 3)
- Unit Fractions
- Fractions on a Number Line
- Half, Quarter and Three-Quarter
- Fractions of Shapes
- Adding Like Fractions (Grade 3)
- Subtracting Like Fractions (Grade 3)
- Fraction Word Problems (Grade 3)
