512/216 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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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
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Fraction Simplification Table

FractionLowest Terms
512/201512/201
512/202256/101
512/203512/203
512/204128/51
512/205512/205
512/206256/103
512/207512/207
512/20832/13
512/209512/209
512/210256/105
512/211512/211
512/212128/53
512/213512/213
512/214256/107
512/215512/215
512/21664/27
512/217512/217
512/218256/109
512/219512/219
512/220128/55
512/221512/221
512/222256/111
512/223512/223
512/22416/7
512/225512/225
512/226256/113
512/227512/227
512/228128/57
512/229512/229
512/230256/115

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).

Fraction Simplifier Calculator

Simplify the Fraction

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FAQ

What is 512/216 Simplified?

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

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