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

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

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).

FAQ

What is 100/400 Simplified?

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