How to completely reduce (simplify) the fraction 1/6 to the lowest terms (its simplest form, the smallest possible numerator and denominator)? Write the result as a proper fraction, as a decimal, and as a percentage

Reduce (simplify) the fraction: 1/6

Detailed calculations below:

Fractions, brief introduction.

A fraction consists of two numbers and the fraction bar: 1/6


The number above the fraction bar is the numerator: 1


The number under the fraction bar is the denominator: 6


The fraction bar means that the two numbers divide themselves:
1/6 = 1 ÷ 6


Divide the numerator by the denominator to get the value of the fraction:
The value = 1 ÷ 6


Percentages, short introduction

'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 will not change.



The fraction cannot be further reduced (simplified).

It is already completely reduced (simplified) to its lowest terms (it has the smallest possible numerator and denominator).


1/6 is a proper fraction.


A proper fraction - the numerator is smaller than the 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 the value of the fraction.


2) Multiply this number by 100.


3) Add the percent sign, %.



The final answer
This continues below...

The final answer:
:: Written in three ways ::

As a proper fraction
(the numerator is smaller than the denominator):
1/6 = 1/6

As a decimal number:
1/60.1666666666670.17

As a percentage:
1/6 = 16.666666666667%16.67%

Other operations of this kind:


Online Calculator: Completely reduce (simplify) fraction to the lowest terms

To fully reduce (simplify) fractions to the lowest terms:

Divide the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd).

Result written as a proper or an improper fraction, as a mixed number, as a decimal or an integer and as a percentage.

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Tutoring: simplifying fractions - reducing them to the lowest terms

Steps to simplify a fraction, to reduce it to its lowest terms:

Example: reduce the fraction 315/1,155 as much as possible, simplify it to the lowest terms.


Read the entire article >> Completely reduce (simplify) fractions to the lowest terms: Steps and Examples


Why reducing (simplifying) fractions to lower terms?


What is a prime number? Definition, examples

What is a composite number? Definition, examples

The prime numbers up to 1,000

The prime numbers up to 10,000

The Sieve of Eratosthenes

The Euclidean Algorithm

Completely reduce (simplify) fractions to the lowest terms: Steps and Examples