Class 6 Mathematics

Chapter 7: Fractions

STAGE 0: Foundation

Fractions show parts of a whole 😊

We use fractions in daily life:

Half pizza
Quarter chocolate
One-third of a cake

In this chapter, we learn:

Meaning of fractions
Types of fractions
Equivalent fractions
Fractions on number line

STAGE 1: Concepts Explained

What is a Fraction?

A fraction represents a part of a whole.

Example:

1/4 means one part out of four equal parts.

Parts of a Fraction

Numerator: Top number (shows parts taken)
Denominator: Bottom number (shows total equal parts)

Types of Fractions

Proper Fraction

Numerator is less than denominator.

Example: 3/5

Improper Fraction

Numerator is greater than or equal to denominator.

Example: 7/4

Mixed Fraction

Combination of a whole number and a fraction.

Example: 1 3/4

Equivalent Fractions

Fractions having the same value are called equivalent fractions.

Example:

1/2 = 2/4 = 3/6

Fractions on Number Line

Fractions can be shown on a number line by dividing the line into equal parts.

STAGE 2: Solved Examples

Example 1:
Write the numerator and denominator of 5/8.

Solution:
Numerator = 5
Denominator = 8

Example 2:
Write one equivalent fraction of 2/3.

Solution:
2/3 = 4/6

Example 3:
Convert 7/4 into a mixed fraction.

Solution:
7/4 = 1 3/4

STAGE 3: Practice Questions

1. Write any two proper fractions.
2. Write any two improper fractions.
3. Find one equivalent fraction of 3/5.
4. Convert 9/2 into a mixed fraction.
5. Show 1/4 on a number line.

STAGE 4: Quick Revision

Fractions show part of a whole
Numerator is the top number
Denominator is the bottom number
Equivalent fractions have same value
Fractions can be shown on number line

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