# What is 72 out of 100

## How to break the ^{72}/_{100} to make your basic presentation brief? Write it down as a proper fraction, decimal, percentage

### Detailed calculations below:

### Introduction. Fractions

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

#### The number above the fraction line is the numerator: 72

#### The number below the fraction line is the denominator: 100

#### The fraction line means that the two numbers share:

= 72 : 100

#### Divide the numerator by the denominator to get the value of the fraction:

Value = 72: 100

### Introduction. percent

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

#### p% = p 'of a hundred',

#### p% = ^{p}/_{100} = p: 100

### Note:

#### The break ^{100}/_{100} = 100 : 100 = 100% = 1

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

... and their value does not change.

### To reduce a fraction to its basic representation, divide the numerator and denominator by their greatest common divisor, GCD.

### Decomposition of numbers into prime factors:

#### Prime factorization of a number - finds the prime numbers that multiply to that number.

#### 72 = 2^{3} × 3^{2};

72 is not prime, is a composite number;

#### 100 = 2^{2} × 5^{2};

100 is not prime, is a composite number;

** The numbers that are only divided by themselves and by 1 are called prime numbers. A prime number has only two factors: 1 and itself. *

* A composite number is an integer that has at least one factor other than 1 and itself.

* A composite number is an integer that has at least one factor other than 1 and itself.

*>> Decomposition of numbers into prime factors *

### Calculate the greatest common factor:

#### Multiply all common prime numbers by their lowest powers.

#### gcd (72; 100) = 2^{2} = 4

*>> Calculate the greatest common factor *

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

#### =

^{(23 × 32)}/_{(22 × 52)} =

^{((23 × 32) : 22)} / _{((22 × 52) : 22)} =

^{(2 × 32)}/_{52} =

### The fraction is now shortened to its basic representation (Completely shortened fraction).

### is real break.

#### Real fraction: numerator smaller than denominator.

### Rewrite the result, this will be continued below ...

### Rewrite the result:

### Like decimal number:

### As a percentage:

#### =

#### × ^{100}/_{100} =

^{72}/_{100} =

#### 72%

#### In other words:

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

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

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

### Final answer

this continues below ...

### Final answer:

:: Written in three ways ::

### Like real break

(Numerator less than denominator):

=

### Like decimal number:

=

### As a percentage:

=

### Other operations of this type:

### shorten =? ... =?

### Online calculator: reduce (simplify) fractions

### The latest fully abbreviated fractions

How to shorten the fraction: ^{72}/_{100}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{2.364}/_{100}? | May 23, 23:12 UTC (GMT) |

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How to shorten the fraction: ^{4.100}/_{12}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{1.363}/_{12}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{2.279}/_{900}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{161.243.304}/_{6.718.464}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{70}/_{1.800}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{143}/_{54.145}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{66.122}/_{81}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{15}/_{44.410}? | May 23, 23:12 UTC (GMT) |

How to shorten the fraction: ^{55}/_{165}? | May 23, 23:12 UTC (GMT) |

shortened fractions, see more ... |

### Theory: reduce ordinary fractions

### Steps to reduce (simplified) an ordinary fraction reference to lower:

- 1) Factoring the numerator and denominator of the fraction into prime factors.
- 2) Calculate the greatest common divisor of the numerator the fraction and denominator.
- 3) Divide the numerator and denominator of the fraction by the greatest common factor.
- In conclusion: Fraction thus obtained called a reduced fraction (simplified) on the lowest terms.
- A fraction that is reduced to its lowest values cannot be reduced any further and is called an irreducible fraction.

#### Read the full article >> Shortening Fractions: Steps and Examples

### Why simplification fractions?

- When performing operations on fractions, we often need to bring them to the same denominator, for example when adding, subtracting, or comparing.
- Sometimes both the numerators and denominators of these fractions are large numbers, and calculations using such numbers could be difficult.
- Simplifying (reducing) a fraction reduces both the numerator and denominator of a fraction to smaller values. These values are much easier to work with, which reduces the overall effort involved in working with fractions.

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