## Reduce: ^{5,125}/_{5,125}

## Detailed calculations below:

### Introduction. Fractions

#### A fraction consists of two numbers and a fraction bar: ^{5,125}/_{5,125}

#### The number above the bar is the numerator: 5,125

#### The number below the bar is the denominator: 5,125

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

^{5,125}/_{5,125} = 5,125 ÷ 5,125

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

Value = 5,125 ÷ 5,125

### 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.

## To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.

### Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd.

#### The two numbers are equal.

#### gcf, hcf, gcd (5,125; 5,125) = 5,125

### Reduce (simplify) the fraction:

#### Divide both the numerator and the denominator by their greatest common factor.

#### Fraction can be reduced (simplified) to its simplest equivalent form, irreducible:

^{5,125}/_{5,125} =

^{(5,125 ÷ 5,125)}/_{(5,125 ÷ 5,125)} =

#### ^{1}/_{1} =

#### 1

#### When the denominator is 1 it can be omitted.

## The fraction is now reduced to the lowest terms.

### 1 = ^{1}/_{1} is an improper fraction.

#### An improper fraction: numerator >= denominator.

## Rewrite the end result, continued below...

## Rewrite the fraction:

### As an improper fraction

(numerator = denominator):

#### 1 = ^{1}/_{1}

### As a percentage:

#### 1 =

#### 1 × ^{100}/_{100} =

#### ^{100}/_{100} =

#### 100%

#### 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...

## Final answer:

:: written in three ways ::

## As an improper fraction

(numerator = denominator):

^{5,125}/_{5,125} = ^{1}/_{1}

## As an integer:

^{5,125}/_{5,125} = 1

## As a percentage:

^{5,125}/_{5,125} = 100%

## More operations of this kind:

## Online calculator: reduce (simplify) fractions