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# Fraction, definitions, types, and examples.

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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

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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