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 [latex]\frac{1}{4}[/latex]

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

When you have numbers like [latex]\frac{1}{8}[/latex] and [latex]\frac{1}{7}[/latex] they are called vulgar fractions or common fractions. mathematically we write fractions as [latex]\frac{A}{B}[/latex]. 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 [latex]\frac{1}{2}, \frac{4}{7}[/latex].

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 [latex]\frac{15}{17}, \frac{3}{7}, \frac{9}{21}[/latex]

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

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

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

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

## 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 [latex]\frac{3}{4}[/latex]. To find the equivalent fractions of this fraction, multiply both the numerator and denominator by the same number. For instance

[latex]\frac{3\times2}{4\times2} = \frac{6}{8}\\[/latex]

[latex]\frac{3\times3}{4\times3} = \frac{9}{12}[/latex]

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

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

a. [latex]\frac{4}{5}[/latex] and [latex]\frac{16}{20}[/latex]

b. [latex]\frac{3}{5}[/latex] and [latex]\frac{33}{55}[/latex]

c. [latex]\frac{6}{7}[/latex] and [latex]\frac{24}{28}[/latex]

## solutions

a. [latex]\frac{4}{5} = \frac{4\times4}{5\times4} = \frac{16}{20}[/latex]

Hence [latex]\frac{4}{5}[/latex] and [latex]\frac{16}{20}[/latex] are equivalent fractions

b. [latex]\frac{3}{5} = \frac{3\times11}{5\times11}= \frac{33}{55}[/latex]

Hence [latex]\frac{3}{5}[/latex] and [latex]\frac{33}{55}[/latex] are equivalent fractions.

c. [latex]\frac{6}{7} = \frac{6\times4}{7\times4} = \frac{24}{28}[/latex]

Hence [latex]\frac{6}{7}[/latex] and [latex]\frac{24}{28}[/latex] are equivalent fractions

On addition of fractions with solved examples, click here