What is 512/216 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 512/216 Simplified?

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

512

/

216

=

64

/

27

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

Since the numerator [512] is greater than the denominator [216] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

64

/

27

=2

10

/

27

Simplifying Fraction 512/216 using GCF

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

GCF of 512 and 216 is 8

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

512 ÷ 8

/

216 ÷ 8

=

64

/

27

Simplifying Fraction 512/216 using Prime Factors

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

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

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

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

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

/

2 × 2 × 2 × 3 × 3 × 3

=

64

/

27

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

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

512 ÷ 2

/

216 ÷ 2

=

256

/

108

256 ÷ 2

/

108 ÷ 2

=

128

/

54

128 ÷ 2

/

54 ÷ 2

=

64

/

27

Fraction Simplification Table

Fraction	Lowest Terms
512/201	512/201
512/202	256/101
512/203	512/203
512/204	128/51
512/205	512/205
512/206	256/103
512/207	512/207
512/208	32/13
512/209	512/209
512/210	256/105
512/211	512/211
512/212	128/53
512/213	512/213
512/214	256/107
512/215	512/215
512/216	64/27
512/217	512/217
512/218	256/109
512/219	512/219
512/220	128/55
512/221	512/221
512/222	256/111
512/223	512/223
512/224	16/7
512/225	512/225
512/226	256/113
512/227	512/227
512/228	128/57
512/229	512/229
512/230	256/115

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 512/216 Simplified? (The answer is: 64/27). Enter the fraction (numerator and denominator) (e.g. '512/216') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 512/216) 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).

512/216 Simplified