How to reduce (simplify) fraction 1/6 to lowest terms? Write it as a proper fraction, integer number and percent value

Reduce: 1/6

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...

Final answer:
:: written in three ways ::

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

As a decimal number:
1/60.1666666666670.17

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

More operations of this kind:


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Tutoring: simplifying ordinary math fractions (reducing to the lowest terms)

Steps to simplify an ordinary fraction, to reduce it to its lowest terms:

  • 1) Factor both the numerator and the denominator of the fraction into prime factors.
  • 2) Calculate the greatest common factor, GCF (or the greatest common divisor, GCD) of the fraction's numerator and denominator.
  • 3) Divide both the numerator and the denominator of the fraction by the greatest common factor, GCF (GCD).
  • In conclusion: the fraction thus obtained is called a reduced fraction or a fraction simplified to its lowest terms.
  • A fraction reduced to its lowest terms cannot be further reduced and it is called an irreducible fraction.

Read the full article >> Simplifying ordinary (common) math fractions (reducing to lower terms): steps to follow and examples


Why reducing (simplifying) fractions to lower terms?

  • When running operations with fractions we are often required to bring them to the same denominator, for example when adding, subtracting or comparing.
  • Sometimes both the numerators and the denominators of those fractions are large numbers and doing calculations with such numbers could be difficult.
  • By simplifying (reducing) a fraction, both the numerator and denominator of a fraction are reduced to smaller values. Well, these values are much easier to work with, reducing the overall effort of working with fractions.

What is a prime number?

What is a composite number?

Prime numbers up to 1,000

Prime numbers up to 10,000

Sieve of Eratosthenes

Euclid's algorithm

Simplifying ordinary (common) math fractions (reducing to lower terms): steps to follow and examples