What is 729/216 Simplified to Simplest Form?

Fraction Simplifier Calculator

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

Fraction Simplification Table

Fraction	Lowest Terms
729/201	243/67
729/202	729/202
729/203	729/203
729/204	243/68
729/205	729/205
729/206	729/206
729/207	81/23
729/208	729/208
729/209	729/209
729/210	243/70
729/211	729/211
729/212	729/212
729/213	243/71
729/214	729/214
729/215	729/215
729/216	27/8
729/217	729/217
729/218	729/218
729/219	243/73
729/220	729/220
729/221	729/221
729/222	243/74
729/223	729/223
729/224	729/224
729/225	81/25
729/226	729/226
729/227	729/227
729/228	243/76
729/229	729/229
729/230	729/230

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).

729/216 Simplified