Introduction

Fractions are a fundamental concept in mathematics. Whether you are calculating discounts while shopping or measuring ingredients for a recipe, fractions are everywhere! In this article, we will break down the concept of fractions in a simple and easy-to-understand way.

What is a Fraction?

A fraction represents a part of a whole. It consists of two numbers:

• Numerator (top number): The part we have

• Denominator (bottom number): The total number of equal parts

For example, in 3/4, 3 is the numerator, and 4 is the denominator.

Types of Fractions

1. Proper Fractions: Numerator < Denominator (e.g., 3/5)

2. Improper Fractions: Numerator ≥ Denominator (e.g., 7/4)

3. Mixed Fractions: A whole number with a fraction (e.g., 2 ½)

4. Like Fractions: Same denominators (e.g., 2/7, 5/7)

5. Unlike Fractions: Different denominators (e.g., 2/3, 5/6)

Simplifying Fractions

To simplify a fraction, divide the numerator and denominator by their Greatest Common Divisor (GCD).
Example:

1216=12÷416÷4=34\frac{12}{16} = \frac{12 ÷ 4}{16 ÷ 4} = \frac{3}{4}1612​=16÷412÷4​=43​

Adding and Subtracting Fractions

• Like Fractions: Add or subtract numerators directly.
  Example: 25+35=55=1\frac{2}{5} + \frac{3}{5} = \frac{5}{5} = 152​+53​=55​=1

• Unlike Fractions: Convert to the same denominator first.
  Example: 12+13=36+26=56\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}21​+31​=63​+62​=65​

Real-Life Applications of Fractions

• Dividing pizzas or cakes

• Cooking measurements

• Budgeting and discounts

• Sports statistics

Practice Questions

1. Simplify: 1824\frac{18}{24}2418​

2. Add: 23+56\frac{2}{3} + \frac{5}{6}32​+65​

3. Convert $7/3$ into a mixed fraction

Conclusion

Fractions may seem tricky at first, but with regular practice, they become easy to understand and apply. Mastering fractions builds a strong foundation for higher-level mathematics like decimals, percentages, and algebra.