What is 100/400 Simplified to Simplest Form?

Fraction Simplifier Calculator

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].

Prime Factors of 100: 2,2,5,5

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

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

2 × 2 × 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

What is 100 percent of 400?

Fraction Simplification Table

Fraction	Lowest Terms
100/385	20/77
100/386	50/193
100/387	100/387
100/388	25/97
100/389	100/389
100/390	10/39
100/391	100/391
100/392	25/98
100/393	100/393
100/394	50/197
100/395	20/79
100/396	25/99
100/397	100/397
100/398	50/199
100/399	100/399
100/400	1/4 (¼)
100/401	100/401
100/402	50/201
100/403	100/403
100/404	25/101
100/405	20/81
100/406	50/203
100/407	100/407
100/408	25/102
100/409	100/409
100/410	10/41
100/411	100/411
100/412	25/103
100/413	100/413
100/414	50/207

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).

100/400 Simplified