## Brief Introduction. Convert the Fraction to a Percentage. The Answer

### Fractions: brief introduction

#### A fraction consists of two numbers and the fraction bar:

^{7}/_{22 }

#### The number above the fraction bar is the numerator: 7

#### The number under the fraction bar is the denominator: 22

#### To get the fraction's value, divide the numerator by the denominator:

#### The value = 7 ÷ 22

### Percent, p%: short introduction

#### 'Percent (%)' means 'out of one hundred':

#### p% = p 'out of one hundred',

#### p% = ^{p}/_{100} = p ÷ 100.

### How to convert a fraction to a percentage:

#### 1) Calculate the value of the fraction.

#### 2) Multiply the calculated value of the fraction by ^{100}/_{100}.

## Convert the fraction to a percentage

### 1. Calculate the value of the fraction.

#### To get the fraction's value, divide the numerator by the denominator:

^{7}/_{22} =

#### 7 ÷ 22 ≈

#### 0.318181818181818

### A quick note:

^{100}/_{100} = 100 ÷ 100 = 100% = 1

#### Multiply a number by the fraction ^{100}/_{100}

... and its value doesn't change.

#### By multiplying a number by the fraction ^{100}/_{100},

we change only the form of the result, not the result.

#### n × ^{100}/_{100} = n × 1 = n, any number n

## Rounded off to a max. of 12 decimal places:

^{7}/_{22 } ≈ 31.818181818182%

Rounded off to a max. of 2 decimal places:

^{7}/_{22 } ≈ 31.82%

In conclusion:

(1) Divide the numerator by the denominator (2) Multiply the result by 100 and (3) Add the percent sign %

#### The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.