1000/100 Simplified

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What is 1000/100 Simplified?

Answer

Fraction 1000/100 simplified to lowest terms is 10/1
1000
100
=
10
1

10/1 is the simplified fraction of 1000/100.

Since the numerator [1000] is greater than the denominator [100] and numerator is a multiple of the denominator, so we can convert it into a whole number:

10
1
=10

Simplifying Fraction 1000/100 using GCF

The first way to simplify the fraction 1000/100 is to use the Greatest Common Factor (GCF) of our numerator [1000] and denominator [100].

GCF of 1000 and 100 is 100

And then divide both the numerator [1000] and denominator [100] by the GCF [100].

1000 ÷ 100
100 ÷ 100
=
10
1

Simplifying Fraction 1000/100 using Prime Factors

Another method to reduce the fraction 1000/100 to its simplest form is to use the Prime Factors of numerator [1000] and denominator [100].

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

Prime Factors of 100: 2,2,5,5

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 × 5 × 5
=
10
1

Simplifying Fraction 1000/100 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [1000] and denominator [100] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

1000 ÷ 2
100 ÷ 2
=
500
50
500 ÷ 2
50 ÷ 2
=
250
25
250 ÷ 5
25 ÷ 5
=
50
5
50 ÷ 5
5 ÷ 5
=
10
1

Related Calculations

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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 1000/100 Simplified? (The answer is: 10/1). Enter the fraction (numerator and denominator) (e.g. '1000/100') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 1000/100) 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

Simplify the Fraction

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Fraction Simplification Table

FractionLowest Terms
1000/85200/17
1000/86500/43
1000/871000/87
1000/88125/11
1000/891000/89
1000/90100/9
1000/911000/91
1000/92250/23
1000/931000/93
1000/94500/47
1000/95200/19
1000/96125/12
1000/971000/97
1000/98500/49
1000/991000/99
1000/10010/1
1000/1011000/101
1000/102500/51
1000/1031000/103
1000/104125/13
1000/105200/21
1000/106500/53
1000/1071000/107
1000/108250/27
1000/1091000/109
1000/110100/11
1000/1111000/111
1000/112125/14
1000/1131000/113
1000/114500/57

FAQ

What is 1000/100 Simplified?

Fraction 1000/100 simplified to lowest terms is 10/1

How do you simplify 1000/100?

1000/100 simplified to lowest terms is 10/1. Divide both the numerator and denominator by their GCF (100).

What is the GCF of 1000 and 100?

The Greatest Common Factor of 1000 and 100 is 100.

See Also