729/216 Simplified

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What is 729/216 Simplified?

Answer

Fraction 729/216 simplified to lowest terms is 27/8
729
216
=
27
8

27/8 is the simplified fraction of 729/216.

Since the numerator [729] 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:

27
8
=3
3
8

Simplifying Fraction 729/216 using GCF

The first way to simplify the fraction 729/216 is to use the Greatest Common Factor (GCF) of our numerator [729] and denominator [216].

GCF of 729 and 216 is 27

And then divide both the numerator [729] and denominator [216] by the GCF [27].

729 ÷ 27
216 ÷ 27
=
27
8

Simplifying Fraction 729/216 using Prime Factors

Another method to reduce the fraction 729/216 to its simplest form is to use the Prime Factors of numerator [729] and denominator [216].

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

3 × 3 × 3 × 3 × 3 × 3
2 × 2 × 2 × 3 × 3 × 3
=
27
8

Simplifying Fraction 729/216 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [729] 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 remainder.

729 ÷ 3
216 ÷ 3
=
243
72
243 ÷ 3
72 ÷ 3
=
81
24
81 ÷ 3
24 ÷ 3
=
27
8

See Also

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 729/216 Simplified? (The answer is: 27/8). Enter the fraction (numerator and denominator) (e.g. '729/216') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 729/216) 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

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Fraction Simplification Table

FractionLowest Terms
729/201243/67
729/202729/202
729/203729/203
729/204243/68
729/205729/205
729/206729/206
729/20781/23
729/208729/208
729/209729/209
729/210243/70
729/211729/211
729/212729/212
729/213243/71
729/214729/214
729/215729/215
729/21627/8
729/217729/217
729/218729/218
729/219243/73
729/220729/220
729/221729/221
729/222243/74
729/223729/223
729/224729/224
729/22581/25
729/226729/226
729/227729/227
729/228243/76
729/229729/229
729/230729/230

FAQ

What is 729/216 Simplified?

Fraction 729/216 simplified to lowest terms is 27/8

How do you simplify 729/216?

729/216 simplified to lowest terms is 27/8. Divide both the numerator and denominator by their GCF (27).

What is the GCF of 729 and 216?

The Greatest Common Factor of 729 and 216 is 27.