What is 180/400 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 180/400 Simplified?

Answer: Fraction 180/400 simplified to lowest terms is 9/20

180

/

400

=

9

/

20

9/20 is the simplified fraction of 180/400.

Simplifying Fraction 180/400 using GCF

The first way to simplify the fraction 180/400 is to use the Greatest Common Factor (GCF) of our numerator [180] and denominator [400].

GCF of 180 and 400 is 20

And then divide both the numerator [180] and denominator [400] by the GCF [20].

180 ÷ 20

/

400 ÷ 20

=

9

/

20

Simplifying Fraction 180/400 using Prime Factors

Another method to reduce the fraction 180/400 to its simplest form is to use the Prime Factors of numerator [180] and denominator [400].

Prime Factors of 180: 2,2,3,3,5

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 × 3 × 3 × 5

/

2 × 2 × 2 × 2 × 5 × 5

=

9

/

20

Simplifying Fraction 180/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [180] 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.

180 ÷ 2

/

400 ÷ 2

=

90

/

200

90 ÷ 2

/

200 ÷ 2

=

45

/

100

45 ÷ 5

/

100 ÷ 5

=

9

/

20

Fraction Simplification Table

Fraction	Lowest Terms
180/385	36/77
180/386	90/193
180/387	20/43
180/388	45/97
180/389	180/389
180/390	6/13
180/391	180/391
180/392	45/98
180/393	60/131
180/394	90/197
180/395	36/79
180/396	5/11
180/397	180/397
180/398	90/199
180/399	60/133
180/400	9/20
180/401	180/401
180/402	30/67
180/403	180/403
180/404	45/101
180/405	4/9
180/406	90/203
180/407	180/407
180/408	15/34
180/409	180/409
180/410	18/41
180/411	60/137
180/412	45/103
180/413	180/413
180/414	10/23

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 180/400 Simplified? (The answer is: 9/20). Enter the fraction (numerator and denominator) (e.g. '180/400') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 180/400) 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).

180/400 Simplified