1000/216 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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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
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Fraction Simplification Table

FractionLowest Terms
1000/2011000/201
1000/202500/101
1000/2031000/203
1000/204250/51
1000/205200/41
1000/206500/103
1000/2071000/207
1000/208125/26
1000/2091000/209
1000/210100/21
1000/2111000/211
1000/212250/53
1000/2131000/213
1000/214500/107
1000/215200/43
1000/216125/27
1000/2171000/217
1000/218500/109
1000/2191000/219
1000/22050/11
1000/2211000/221
1000/222500/111
1000/2231000/223
1000/224125/28
1000/22540/9
1000/226500/113
1000/2271000/227
1000/228250/57
1000/2291000/229
1000/230100/23

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).

Fraction Simplifier Calculator

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FAQ

What is 1000/216 Simplified?

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

See Also