## Detailed calculations below:

### Introduction. Fractions

#### A fraction consists of two numbers and a fraction bar: ^{1}/_{6}

#### The number above the bar is the numerator: 1

#### The number below the bar is the denominator: 6

#### The fraction bar means that the two numbers are dividing themselves:

^{1}/_{6} = 1 ÷ 6

#### Divide the numerator by the denominator to get fraction's value:

Value = 1 ÷ 6

### Introduction. Percent

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

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

#### p% = ^{p}/_{100} = p ÷ 100

### Note:

#### The fraction ^{100}/_{100} = 100 ÷ 100 = 100% = 1

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

... and its value doesn't change.

## Fraction can't be reduced (simplified) any further - irreducible (the simplest form, smallest numerator and denominator).

^{1}/_{6} is a proper fraction.

#### A proper fraction: numerator smaller than denominator.

## Rewrite the fraction:

### As a decimal number:

^{1}/_{6} =

#### 1 ÷ 6 ≈

#### 0.166666666667 ≈

#### 0.17

### As a percentage:

#### 0.166666666667 =

#### 0.166666666667 × ^{100}/_{100} =

^{16.666666666667}/_{100} =

#### 16.666666666667% ≈

#### 16.67%

#### In other words:

#### 1) Calculate fraction's value.

#### 2) Multiply that number by 100.

#### 3) Add the percent sign % to it.

## Final answer

continued below...