What is 225/400 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 225/400 Simplified?

Answer: Fraction 225/400 simplified to lowest terms is 9/16

225

/

400

=

9

/

16

9/16 is the simplified fraction of 225/400.

Simplifying Fraction 225/400 using GCF

The first way to simplify the fraction 225/400 is to use the Greatest Common Factor (GCF) of our numerator [225] and denominator [400].

GCF of 225 and 400 is 25

And then divide both the numerator [225] and denominator [400] by the GCF [25].

225 ÷ 25

/

400 ÷ 25

=

9

/

16

Simplifying Fraction 225/400 using Prime Factors

Another method to reduce the fraction 225/400 to its simplest form is to use the Prime Factors of numerator [225] and denominator [400].

Prime Factors of 225: 3,3,5,5

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:

3 × 3 × 5 × 5

/

2 × 2 × 2 × 2 × 5 × 5

=

9

/

16

Simplifying Fraction 225/400 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [225] 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.

225 ÷ 5

/

400 ÷ 5

=

45

/

80

45 ÷ 5

/

80 ÷ 5

=

9

/

16

Fraction Simplification Table

Fraction	Lowest Terms
225/385	45/77
225/386	225/386
225/387	25/43
225/388	225/388
225/389	225/389
225/390	15/26
225/391	225/391
225/392	225/392
225/393	75/131
225/394	225/394
225/395	45/79
225/396	25/44
225/397	225/397
225/398	225/398
225/399	75/133
225/400	9/16
225/401	225/401
225/402	75/134
225/403	225/403
225/404	225/404
225/405	5/9
225/406	225/406
225/407	225/407
225/408	75/136
225/409	225/409
225/410	45/82
225/411	75/137
225/412	225/412
225/413	225/413
225/414	25/46

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 225/400 Simplified? (The answer is: 9/16). Enter the fraction (numerator and denominator) (e.g. '225/400') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 225/400) 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).

225/400 Simplified