729/216 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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].

Prime Factors of 729: 3,3,3,3,3,3

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:

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

What is 729/216 as a decimal?

Divide the reduced numerator by the reduced denominator: 27 ÷ 8 = 3.375, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 729 and 216?

The Greatest Common Factor of 729 and 216 is 27, and dividing the numerator and the denominator by it is what brings the fraction to 27/8. A GCF of 1 means the fraction is already in lowest terms.

See Also