120/400 Simplified
What is 120/400 Simplified?
3/10 is the simplified fraction of 120/400.
Simplifying Fraction 120/400 using GCF
The first way to simplify the fraction 120/400 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [400].
GCF of 120 and 400 is 40
And then divide both the numerator [120] and denominator [400] by the GCF [40].
Simplifying Fraction 120/400 using Prime Factors
Another method to reduce the fraction 120/400 to its simplest form is to use the Prime Factors of numerator [120] and denominator [400].
Prime Factors of 120: 2,2,2,3,5
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:
Simplifying Fraction 120/400 by Dividing by the Smallest Possible Number
In order to simplify our fraction we can start dividing both the numerator [120] 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.
Fraction Simplification Table
Fraction | Lowest Terms |
---|---|
120/385 | 24/77 |
120/386 | 60/193 |
120/387 | 40/129 |
120/388 | 30/97 |
120/389 | 120/389 |
120/390 | 4/13 |
120/391 | 120/391 |
120/392 | 15/49 |
120/393 | 40/131 |
120/394 | 60/197 |
120/395 | 24/79 |
120/396 | 10/33 |
120/397 | 120/397 |
120/398 | 60/199 |
120/399 | 40/133 |
120/400 | 3/10 |
120/401 | 120/401 |
120/402 | 20/67 |
120/403 | 120/403 |
120/404 | 30/101 |
120/405 | 8/27 |
120/406 | 60/203 |
120/407 | 120/407 |
120/408 | 5/17 |
120/409 | 120/409 |
120/410 | 12/41 |
120/411 | 40/137 |
120/412 | 30/103 |
120/413 | 120/413 |
120/414 | 20/69 |