What is 400/1000 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 400/1000 Simplified?

Answer

Fraction 400/1000 simplified to lowest terms is 2/5 (⅖)

400

1000

=

2

5

2/5 (⅖) is the simplified fraction of 400/1000.

Simplifying Fraction 400/1000 using GCF

The first way to simplify the fraction 400/1000 is to use the Greatest Common Factor (GCF) of our numerator [400] and denominator [1000].

GCF of 400 and 1000 is 200

And then divide both the numerator [400] and denominator [1000] by the GCF [200].

400 ÷ 200

1000 ÷ 200

=

2

5

Simplifying Fraction 400/1000 using Prime Factors

Another method to reduce the fraction 400/1000 to its simplest form is to use the Prime Factors of numerator [400] and denominator [1000].

Prime Factors of 400: 2,2,2,2,5,5

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 × 5 × 5

2 × 2 × 2 × 5 × 5 × 5

=

2

5

Simplifying Fraction 400/1000 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [400] 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 remainder.
400 ÷ 2
/
1000 ÷ 2
=200
/
500
200 ÷ 2
/
500 ÷ 2
=100
/
250
100 ÷ 2
/
250 ÷ 2
=50
/
125
50 ÷ 5
/
125 ÷ 5
=10
/
25
10 ÷ 5
/
25 ÷ 5
=2
/
5

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
400/985	80/197
400/986	200/493
400/987	400/987
400/988	100/247
400/989	400/989
400/990	40/99
400/991	400/991
400/992	25/62
400/993	400/993
400/994	200/497
400/995	80/199
400/996	100/249
400/997	400/997
400/998	200/499
400/999	400/999
400/1000	2/5 (⅖)
400/1001	400/1001
400/1002	200/501
400/1003	400/1003
400/1004	100/251
400/1005	80/201
400/1006	200/503
400/1007	400/1007
400/1008	25/63
400/1009	400/1009
400/1010	40/101
400/1011	400/1011
400/1012	100/253
400/1013	400/1013
400/1014	200/507

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 400/1000 Simplified? (The answer is: 2/5 (⅖)). Enter the fraction (numerator and denominator) (e.g. '400/1000') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 400/1000) 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).

400/1000 Simplified