Fractions Made Easy – Step-by-Step Guide for Class 6–8

By Juhi — Mentor, Learner, Educator | Studies Sprouts

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Introduction

Fractions are a part of our daily lives — whether you’re slicing a pizza, measuring ingredients for a cake, or sharing chocolates with friends. Yet, many students find them tricky.
In this guide, we will break down fractions into simple steps, use real-life examples, and include visuals to make learning fun and easy.

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1. What is a Fraction?

A fraction represents a part of a whole.
It has two parts:

• Numerator – The number on top (tells how many parts we have).

• Denominator – The number at the bottom (tells total equal parts).

Example:
If you cut a cake into 4 equal slices and eat 1 slice → 1/4.

📍 Tip: Denominator = “Down” number → Total parts.
Numerator = “Number you have”.

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2. Types of Fractions

a) Proper Fractions

Numerator is smaller than the denominator.
Example: 3/5 (Three parts out of five).

b) Improper Fractions

Numerator is bigger than or equal to denominator.
Example: 9/4.

c) Mixed Numbers

A whole number and a fraction together.
Example: 2 ½ (Two wholes and one-half).

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3. Equivalent Fractions

Equivalent fractions represent the same value, even if they look different.

Example:
1/2 = 2/4 = 4/8
(We multiply or divide numerator and denominator by the same number.)

Visual Example:
Draw a rectangle divided into 2 parts (shade 1 part) → then divide each part into 2 smaller sections → still the same amount shaded.

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4. Simplifying Fractions

To simplify, divide numerator and denominator by their highest common factor (HCF).

Example:
12/16 → divide by 4 → 3/4

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5. Adding & Subtracting Fractions

Step 1: Make denominators same (find LCM).

Step 2: Add or subtract numerators.

Example:
1/3 + 1/6
LCM of 3 and 6 = 6 → 2/6 + 1/6 = 3/6 = 1/2

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6. Multiplying Fractions

Multiply numerator × numerator and denominator × denominator.
Example:
2/3 × 3/5 = 6/15 = 2/5

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7. Dividing Fractions

Flip the second fraction (reciprocal) and multiply.
Example:
3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8

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8. Real-Life Uses of Fractions

• Cooking recipes

• Splitting bills

• Measuring cloth

• Time (half past, quarter to)

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9. Practice Problems

1. Write 3 equivalent fractions for 2/5.

2. Simplify: 18/24.

3. Add: 3/4 + 5/8.

4. Multiply: 4/7 × 3/5.

5. Convert 9/2 to a mixed number.

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Conclusion

Fractions are not just numbers — they are a life skill! With practice, you can master them and apply them in everyday situations. Keep solving problems, use visuals, and you’ll soon find fractions easy and fun.