225/400 Simplified

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].

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

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 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).

Fraction Simplification Table

FractionLowest Terms
225/38545/77
225/386225/386
225/38725/43
225/388225/388
225/389225/389
225/390
225/391225/391
225/392225/392
225/39375/131
225/394225/394
225/39545/79
225/39625/44
225/397225/397
225/398225/398
225/39975/133
225/401225/401
225/40275/134
225/403225/403
225/404225/404
225/405
225/406225/406
225/407225/407
225/40875/136
225/409225/409
225/41045/82
225/41175/137
225/412225/412
225/413225/413
225/41425/46

FAQ

What is 225/400 Simplified?

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