400/1000 Simplified

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].

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 reminder.

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

Fraction Simplification Table

FractionLowest Terms
400/98580/197
400/986200/493
400/987400/987
400/988100/247
400/989400/989
400/99040/99
400/991400/991
400/99225/62
400/993400/993
400/994200/497
400/99580/199
400/996100/249
400/997400/997
400/998200/499
400/999400/999
400/1001400/1001
400/1002200/501
400/1003400/1003
400/1004100/251
400/100580/201
400/1006200/503
400/1007400/1007
400/100825/63
400/1009400/1009
400/101040/101
400/1011400/1011
400/1012100/253
400/1013400/1013
400/1014200/507

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).

FAQ

What is 400/1000 Simplified?

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