# Fraction, definitions, types, and examples.

`whenever the word fraction is mentioned, it simply means part of something or part of a whole. for instance, if a quantity is divided into four equal parts, then we can say that each part is one-fourth of the quantity. which is often written as \frac{1}{4}`

`A fraction like \frac{2}{7} of mangoes simply means you divide the mangoes into seven equal parts and take two of those seventh`

When you have numbers like \frac{1}{8} and \frac{1}{7} they are called vulgar fractions or common fractions. mathematically we write fractions as \frac{A}{B}. The top number is called the numerator and the down number is called the denominator.

## Types of Fractions

There are only three types of fractions, this includes common fractions, decimal fractions, and percentages.

`Common fraction: when we say fraction, we often refer to a common fraction. examples are \frac{1}{2}, \frac{4}{7}.`

Numbers in a form of 0.78, 0.15 are called decimals fractions. It is often called decimals. We write them with a decimal point.

Now, numbers that are written in this form 78%, 25% are called percentages. We write them with percentages or the symbol %.

## Types of common fraction

There are five types of common fractions, which includes:

`. Proper fractions: this is a type of fraction whose numerator is less than the denominator. Examples \frac{15}{17}, \frac{3}{7}, \frac{9}{21}`

`. Improper fraction: this is a type of fraction whose numerator is bigger than the denominator. Examples \frac{8}{3}, \frac{18}{17}, \frac{156}{26}`

`. Like fractions: when two or more fractions often have the same denominators then they are called Like fractions. Examples \frac{3}{8}, \frac{5}{8}, \frac{1}{8}`

. Unlike fractions: when two or more fractions have different denominators, then they are called, unlike fractions. Examples \frac{1}{7} and \frac{6}{8}, \frac{3}{9} and \frac{7}{15}.

. Mixed numbers: These fractions often contain a whole number part and a fraction part. some people at times called them mixed fractions. Examples 2\frac{7}{29}, 1\frac{9}{15}

## Equivalent fraction

`when two or more fractions look different but have the same value then it is called equivalent fractions. If you have a fraction like \frac{3}{4}. To find the equivalent fractions of this fraction, multiply both the numerator and denominator by the same number. For instance `

\frac{3\times2}{4\times2} = \frac{6}{8}\\

\frac{3\times3}{4\times3} = \frac{9}{12}

this, therefore, means that \frac{3}{4}, \frac{6}{8}, and \frac{9}{12} are equivalent fractions

Examples: Find out which of the following pairs of fractions are equivalent

a. \frac{4}{5} and \frac{16}{20}

b. \frac{3}{5} and \frac{33}{55}

c. \frac{6}{7} and \frac{24}{28}

## solutions

a. \frac{4}{5} = \frac{4\times4}{5\times4} = \frac{16}{20}

Hence \frac{4}{5} and \frac{16}{20} are equivalent fractions

b. \frac{3}{5} = \frac{3\times11}{5\times11}= \frac{33}{55}

Hence \frac{3}{5} and \frac{33}{55} are equivalent fractions.

c. \frac{6}{7} = \frac{6\times4}{7\times4} = \frac{24}{28}

Hence \frac{6}{7} and \frac{24}{28} are equivalent fractions

On addition of fractions with solved examples, click here