What is 120/400 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 120/400 Simplified?

Answer: Fraction 120/400 simplified to lowest terms is 3/10

120

/

400

=

3

/

10

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].

120 ÷ 40

/

400 ÷ 40

=

3

/

10

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:

2 × 2 × 2 × 3 × 5

/

2 × 2 × 2 × 2 × 5 × 5

=

3

/

10

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.

120 ÷ 2

/

400 ÷ 2

=

60

/

200

60 ÷ 2

/

200 ÷ 2

=

30

/

100

30 ÷ 2

/

100 ÷ 2

=

15

/

50

15 ÷ 5

/

50 ÷ 5

=

3

/

10

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

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 120/400 Simplified? (The answer is: 3/10). Enter the fraction (numerator and denominator) (e.g. '120/400') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 120/400) 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).

120/400 Simplified