100/400 Simplified

What is 100/400 Simplified?

Answer: Fraction 100/400 simplified to lowest terms is 1/4 (¼)
100
/
400
=
1
/
4

1/4 (¼) is the simplified fraction of 100/400.

Simplifying Fraction 100/400 using GCF

The first way to simplify the fraction 100/400 is to use the Greatest Common Factor (GCF) of our numerator [100] and denominator [400].

GCF of 100 and 400 is 100

And then divide both the numerator [100] and denominator [400] by the GCF [100].

100 ÷ 100
/
400 ÷ 100
=
1
/
4

Simplifying Fraction 100/400 using Prime Factors

Another method to reduce the fraction 100/400 to its simplest form is to use the Prime Factors of numerator [100] and denominator [400].

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

2 × 2 × 5 × 5
/
2 × 2 × 2 × 2 × 5 × 5
=
1
/
4

Simplifying Fraction 100/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [100] and denominator [400] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

100 ÷ 2
/
400 ÷ 2
=
50
/
200
50 ÷ 2
/
200 ÷ 2
=
25
/
100
25 ÷ 5
/
100 ÷ 5
=
5
/
20
5 ÷ 5
/
20 ÷ 5
=
1
/
4

Related Calculations

See Also

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 100/400 Simplified? (The answer is: 1/4 (¼)). Enter the fraction (numerator and denominator) (e.g. '100/400') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 100/400) 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 Simplification Table

FractionLowest Terms
100/38520/77
100/38650/193
100/387100/387
100/38825/97
100/389100/389
100/39010/39
100/391100/391
100/39225/98
100/393100/393
100/39450/197
100/39520/79
100/39625/99
100/397100/397
100/39850/199
100/399100/399
100/401100/401
100/40250/201
100/403100/403
100/40425/101
100/40520/81
100/40650/203
100/407100/407
100/40825/102
100/409100/409
100/410
100/411100/411
100/41225/103
100/413100/413
100/41450/207

FAQ

What is 100/400 Simplified?

Fraction 100/400 simplified to lowest terms is 1/4 (¼)