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In the previous chapter, we explored the fundamentals of fraction; now, we will learn the classification of the fractions.

**Fractions can be classified into by major four parts**:

- Proper fraction
- Improper fraction
- Mixed fraction
- Unit fraction

i) Proper fraction:

A fraction where the value of the denominator will be greater than the value of the numerator.

Example:

$\frac{2}{3},\phantom{\rule{0.147em}{0ex}}\frac{12}{13},\phantom{\rule{0.147em}{0ex}}\frac{50}{52}$

ii) Improper fraction:

A fraction where the value of the numerator will be greater than or equal to the value of the denominator.

Example:

$\frac{7}{6},\phantom{\rule{0.147em}{0ex}}\frac{2}{1},\phantom{\rule{0.147em}{0ex}}\frac{1}{1}$

iii) Mixed fraction:

A mixed fraction is a combination of a whole number and a proper fraction.

Example:

$2\frac{4}{5},\phantom{\rule{0.147em}{0ex}}4\frac{6}{7},\phantom{\rule{0.147em}{0ex}}6\frac{7}{8}$

iv) Unit fraction:

A fractions which have numerator as \(1\) and denominator as any positive integer are called as unit fractions.

Example:

$\frac{1}{16},\phantom{\rule{0.147em}{0ex}}\frac{1}{4},\phantom{\rule{0.147em}{0ex}}\frac{1}{12}$

**In the upcoming exercises, we get a detail knowledge of these fractions**.