About Fractions

  • Fractions show parts of a whole.

  • You learned about proper, improper, and mixed fractions.

  • You can add, subtract, and compare fractions using simple rules.

  • Fractions are useful in daily life — from cooking to shopping.

  • All Level
  • Last updated 15-May-2025
  • english

Course description

What You’ll Learn

In this chapter, you will understand:

  • What fractions are

  • Types of fractions

  • How to represent fractions visually

  • Comparing, adding, and subtracting fractions

  • Equivalent fractions and simplification

Key Concepts

1. What is a Fraction?

A fraction represents a part of a whole.

Format:

NumeratorDenominator\frac{\text{Numerator}}{\text{Denominator}}

  • Numerator: Number of parts we have.

  • Denominator: Total number of equal parts the whole is divided into.

Example:
If a pizza is divided into 4 equal parts and you eat 1, then you’ve eaten 14\frac{1}{4} of the pizza.

2. Types of Fractions

TypeDescriptionExample
Proper FractionNumerator < Denominator25\frac{2}{5}
Improper FractionNumerator ≥ Denominator74\frac{7}{4}
Mixed FractionWhole number + proper fraction1341\frac{3}{4}
Like FractionsSame denominator27,57\frac{2}{7}, \frac{5}{7}
Unlike FractionsDifferent denominators34,25\frac{3}{4}, \frac{2}{5}
Unit FractionNumerator is 112,17\frac{1}{2}, \frac{1}{7}

3. Representation of Fractions

  • Use pictures and number lines to show fractions.

  • A number line can help show the order and size of fractions.

Example:
To show 34\frac{3}{4}, divide a number line between 0 and 1 into 4 parts and count 3 steps.

4. Equivalent Fractions

Fractions that represent the same value.

Rule:
Multiply or divide both numerator and denominator by the same number.

Examples:

  • 12=24=36\frac{1}{2} = \frac{2}{4} = \frac{3}{6}

  • 46=23\frac{4}{6} = \frac{2}{3} (simplified by dividing by 2)

5. Simplest Form

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

Example:
69=23\frac{6}{9} = \frac{2}{3} (both 6 and 9 divided by 3)

6. Comparing Fractions

 If denominators are same:

  • Compare numerators directly.

  • 37>27\frac{3}{7} > \frac{2}{7}

 If denominators are different:

  • Convert to like fractions (find LCM of denominators).

  • Then compare numerators.

Example:

  • Compare 25\frac{2}{5} and 310\frac{3}{10}

  • Convert 25=410\frac{2}{5} = \frac{4}{10}

  • Now compare 410>310\frac{4}{10} > \frac{3}{10}

7. Addition of Fractions

Like Fractions:

  • Add numerators, keep the denominator same.

  • 27+37=57\frac{2}{7} + \frac{3}{7} = \frac{5}{7}

Unlike Fractions:

  • Find LCM of denominators.

  • Convert to like fractions.

  • Add numerators.

Example:

13+16=26+16=36=12\frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = \frac{1}{2}

8. Subtraction of Fractions

Follow the same process as addition:

  • Convert to like fractions.

  • Subtract numerators, keep denominator same.

Example:

56−13=56−26=36=12\frac{5}{6} - \frac{1}{3} = \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}

Real-Life Examples of Fractions

  • Cutting a cake into equal parts

  • Sharing chocolates

  • Measuring ingredients in cooking

  • Telling time (like quarter past, half past)

Practice Questions

  1. Write any three equivalent fractions of 25\frac{2}{5}.

  2. Compare: 34\frac{3}{4} and 23\frac{2}{3}

  3. Add: 12+14\frac{1}{2} + \frac{1}{4}

  4. Subtract: 56−12\frac{5}{6} - \frac{1}{2}

  5. Convert 2132\frac{1}{3} into an improper fraction.

Curriculum

Introductions of Fractions

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Fraction on the Number line

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Proper Fractions

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Improper and Mixed Fractions

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Equivalent Fractions

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Simplest Form of a Fraction

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Like and unlike Fractions

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Comparing unlike Fractions

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try these questions

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This course includes
  • Lectures 10
  • Duration 4h 50m
  • Skills All Level
  • Language english
  • Certificate yes
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