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 = 23 × 32;
72 is not prime, is a composite number;


100 = 22 × 52;
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.

>> Decomposition of numbers into prime factors


Calculate the greatest common factor:

Multiply all common prime numbers by their lowest powers.


gcd (72; 100) = 22 = 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

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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.