What is 1000/216 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 1000/216 Simplified?

Answer: Fraction 1000/216 simplified to lowest terms is 125/27

1000

/

216

=

125

/

27

125/27 is the simplified fraction of 1000/216.

Since the numerator [1000] 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:

125

/

27

=4

17

/

27

Simplifying Fraction 1000/216 using GCF

The first way to simplify the fraction 1000/216 is to use the Greatest Common Factor (GCF) of our numerator [1000] and denominator [216].

GCF of 1000 and 216 is 8

And then divide both the numerator [1000] and denominator [216] by the GCF [8].

1000 ÷ 8

/

216 ÷ 8

=

125

/

27

Simplifying Fraction 1000/216 using Prime Factors

Another method to reduce the fraction 1000/216 to its simplest form is to use the Prime Factors of numerator [1000] and denominator [216].

Prime Factors of 1000: 2,2,2,5,5,5

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 × 5 × 5 × 5

/

2 × 2 × 2 × 3 × 3 × 3

=

125

/

27

Simplifying Fraction 1000/216 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [1000] 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.

1000 ÷ 2

/

216 ÷ 2

=

500

/

108

500 ÷ 2

/

108 ÷ 2

=

250

/

54

250 ÷ 2

/

54 ÷ 2

=

125

/

27

Fraction Simplification Table

Fraction	Lowest Terms
1000/201	1000/201
1000/202	500/101
1000/203	1000/203
1000/204	250/51
1000/205	200/41
1000/206	500/103
1000/207	1000/207
1000/208	125/26
1000/209	1000/209
1000/210	100/21
1000/211	1000/211
1000/212	250/53
1000/213	1000/213
1000/214	500/107
1000/215	200/43
1000/216	125/27
1000/217	1000/217
1000/218	500/109
1000/219	1000/219
1000/220	50/11
1000/221	1000/221
1000/222	500/111
1000/223	1000/223
1000/224	125/28
1000/225	40/9
1000/226	500/113
1000/227	1000/227
1000/228	250/57
1000/229	1000/229
1000/230	100/23

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 1000/216 Simplified? (The answer is: 125/27). Enter the fraction (numerator and denominator) (e.g. '1000/216') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 1000/216) 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).

1000/216 Simplified