What is 216/512 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 216/512 Simplified?

Answer: Fraction 216/512 simplified to lowest terms is 27/64

216

/

512

=

27

/

64

27/64 is the simplified fraction of 216/512.

Simplifying Fraction 216/512 using GCF

The first way to simplify the fraction 216/512 is to use the Greatest Common Factor (GCF) of our numerator [216] and denominator [512].

GCF of 216 and 512 is 8

And then divide both the numerator [216] and denominator [512] by the GCF [8].

216 ÷ 8

/

512 ÷ 8

=

27

/

64

Simplifying Fraction 216/512 using Prime Factors

Another method to reduce the fraction 216/512 to its simplest form is to use the Prime Factors of numerator [216] and denominator [512].

Prime Factors of 216: 2,2,2,3,3,3

Prime Factors of 512: 2,2,2,2,2,2,2,2,2

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 3 × 3 × 3

/

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

=

27

/

64

Simplifying Fraction 216/512 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [216] and denominator [512] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

216 ÷ 2

/

512 ÷ 2

=

108

/

256

108 ÷ 2

/

256 ÷ 2

=

54

/

128

54 ÷ 2

/

128 ÷ 2

=

27

/

64

Fraction Simplification Table

Fraction	Lowest Terms
216/497	216/497
216/498	36/83
216/499	216/499
216/500	54/125
216/501	72/167
216/502	108/251
216/503	216/503
216/504	3/7
216/505	216/505
216/506	108/253
216/507	72/169
216/508	54/127
216/509	216/509
216/510	36/85
216/511	216/511
216/512	27/64
216/513	8/19
216/514	108/257
216/515	216/515
216/516	18/43
216/517	216/517
216/518	108/259
216/519	72/173
216/520	27/65
216/521	216/521
216/522	12/29
216/523	216/523
216/524	54/131
216/525	72/175
216/526	108/263

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 216/512 Simplified? (The answer is: 27/64). Enter the fraction (numerator and denominator) (e.g. '216/512') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 216/512) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

216/512 Simplified