512/1000 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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What is 512/1000 Simplified?

Answer: Fraction 512/1000 simplified to lowest terms is 64/125
512
/
1000
=
64
/
125

64/125 is the simplified fraction of 512/1000.

Simplifying Fraction 512/1000 using GCF

The first way to simplify the fraction 512/1000 is to use the Greatest Common Factor (GCF) of our numerator [512] and denominator [1000].

GCF of 512 and 1000 is 8

And then divide both the numerator [512] and denominator [1000] by the GCF [8].

512 ÷ 8
/
1000 ÷ 8
=
64
/
125

Simplifying Fraction 512/1000 using Prime Factors

Another method to reduce the fraction 512/1000 to its simplest form is to use the Prime Factors of numerator [512] and denominator [1000].

Prime Factors of 512: 2,2,2,2,2,2,2,2,2

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

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
/
2 × 2 × 2 × 5 × 5 × 5
=
64
/
125

Simplifying Fraction 512/1000 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [512] and denominator [1000] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

512 ÷ 2
/
1000 ÷ 2
=
256
/
500
256 ÷ 2
/
500 ÷ 2
=
128
/
250
128 ÷ 2
/
250 ÷ 2
=
64
/
125

See Also

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Fraction Simplification Table

FractionLowest Terms
512/985512/985
512/986256/493
512/987512/987
512/988128/247
512/989512/989
512/990256/495
512/991512/991
512/99216/31
512/993512/993
512/994256/497
512/995512/995
512/996128/249
512/997512/997
512/998256/499
512/999512/999
512/100064/125
512/1001512/1001
512/1002256/501
512/1003512/1003
512/1004128/251
512/1005512/1005
512/1006256/503
512/1007512/1007
512/100832/63
512/1009512/1009
512/1010256/505
512/1011512/1011
512/1012128/253
512/1013512/1013
512/1014256/507

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 512/1000 Simplified? (The answer is: 64/125). Enter the fraction (numerator and denominator) (e.g. '512/1000') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 512/1000) 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 512/1000 Simplified?

Fraction 512/1000 simplified to lowest terms is 64/125

See Also