Decimals vs Fractions – Difference Explained Easily with Examples


Meta Description: Learn the difference between decimals and fractions with simple examples, conversions, uses, and practice questions. Easy maths guide for students.

Introduction

Decimals and fractions are two ways of representing parts of a whole. Students often get confused between them, but both are simple when understood clearly.

In this lesson, you will learn the difference between decimals and fractions with easy examples.

What is a Fraction?

A fraction shows a part of a whole using numerator and denominator.

34\frac{3}{4}

This means 3 parts out of 4 equal parts.

What is a Decimal?

A decimal shows a part of a whole using a decimal point.

0.750.75

This also means 75 hundredths.

Decimals vs Fractions

FractionsDecimals
Written with numerator and denominatorWritten using decimal point
Example: 12\frac{1}{2}Example: 0.50.5
Good for equal partsGood for money and measurements
Can simplify easilyEasy to compare values

Common Equivalent Values

12=0.5\frac{1}{2}=0.5

14=0.25\frac{1}{4}=0.25

34=0.75\frac{3}{4}=0.75

110=0.1\frac{1}{10}=0.1

How to Convert Fraction to Decimal

Divide numerator by denominator.

35=3÷5=0.6\frac{3}{5}=3\div5=0.6

How to Convert Decimal to Fraction

Write decimal over place value and simplify.

0.8=810=450.8=\frac{8}{10}=\frac{4}{5}

Real Life Examples

  • Half pizza = 12\frac{1}{2}
  • ₹0.50 = decimal money value
  • 75 cm = 0.75 meter

Which is Better?

Both are useful:

  • Use fractions for sharing and parts
  • Use decimals for money, measurement, data

Practice Questions

  1. Convert 15\frac{1}{5}to decimal.
  2. Convert 0.250.25to fraction.
  3. Which is bigger: 0.70.7 or 34\frac{3}{4}​?
  4. Write decimal of 910\frac{9}{10}

Answers

  1. 0.20.2
  2. 14\frac{1}{4}
  3. 34=0.75>0.7\frac{3}{4}=0.75>0.7
  4. 0.90.9

Conclusion

Decimals and fractions are two simple ways to show parts of a whole. Learning both helps in school maths and daily life calculations.

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