**FRACTIONS **

CONTENT
- Definition and Types of Fractions
- Conversion of Fraction to Decimal and Vice Versa
- Conversion of Fractions to Percentages and Vice Versa
- Quantitative Aptitude on Fractions

**What are fractions?**

Fractions are portion or part of whole number that describes quantities. Examples
Consider the shapes below:
**Types of Fractions**

Fractions are divided into four basic types:
(i) **A Proper Fraction**It is a fraction having both numerator and denominator. And such is said to be rational. In a proper fraction, its numerator is smaller in quantity than its denominator. We can use a funny example to explain. Suppose a 15 years old boy is made to carry on his head two small tubers of yam. We can see that he can comfortably and conveniently carry them without feeling the heaviness of the weight of the tubers, on his neck. If we let the boy be the denominator and the two tubers of yam to be numerator, we can reason or compare that the

**(the yam tubers) and the 15 year-old boy (the**

*numerator***) are not equal in weight. Obviously in this example the numerator is lighter than the denominator. It is a proper thing for anyone to do when placing loads on a child’s head. The load on a child’s head should not be heavier than the body mass of that child. So, it is proper. That is exactly what a**

*denominator***proper fraction**looks like. Examples of

**proper fractions**are : \(\frac{4}{19}, \frac{1}{13}, \frac{12}{13}, \frac{43}{81}, \frac{34}{43}, \frac{122}{123}, \frac{72}{144},\) etc. (ii)

**An Improper Fraction**

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