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fraction definition and its type

                                                          FRACTION
When an object is divided into a number of equal parts then each part is called a fraction.

The three types of fractions are :

Proper fraction

Improper fraction

Mixed fraction

Proper fraction:

Fractions whose numerators are less than the denominators are called proper fractions. (Numerator < denominator)

For examples:

23$\frac{2}{3}$, 34$\frac{3}{4}$, 45$\frac{4}{5}$, 56$\frac{5}{6}$, 67$\frac{6}{7}$, 29$\frac{2}{9}$ 58$\frac{5}{8}$, 25$\frac{2}{5}$, etc are proper fractions.

Improper fraction:

Fractions with the numerator either equal to or greater than the denominator are called improper fraction. (Numerator = denominator or, Numerator > denominator)

Fractions like 54$\frac{5}{4}$, 175$\frac{17}{5}$, 52$\frac{5}{2}$ etc. are not proper fractions. These are improper fractions. The fraction 77$\frac{7}{7}$ is an improper fraction.

The fractions 54$\frac{5}{4}$, 32$\frac{3}{2}$, 83$\frac{8}{3}$, 65$\frac{6}{5}$, 103$\frac{10}{3}$, 1310$\frac{13}{10}$, 154$\frac{15}{4}$, 99$\frac{9}{9}$, 2013$\frac{20}{13}$, 1212$\frac{12}{12}$, 1311$\frac{13}{11}$, 1411$\frac{14}{11}$, 1717$\frac{17}{17}$ are the examples of improper fractions. The top number (numerator) is greater than the bottom number (denominator). Such type of fraction is called improper fraction.

Mixed fraction:

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

113$\frac{1}{3}$, 213$\frac{1}{3}$, 325$\frac{2}{5}$, 425$\frac{2}{5}$, 11110$\frac{1}{10}$, 91315$\frac{13}{15}$ and 1235$\frac{3}{5}$ are examples of mixed fraction.