What is 120/30 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 120/30 Simplified?

Answer

Fraction 120/30 simplified to lowest terms is 4/1

120

30

=

4

1

4/1 is the simplified fraction of 120/30.

Since the numerator [120] is greater than the denominator [30] and numerator is a multiple of the denominator, so we can convert it into a whole number:

4

1

=4

Simplifying Fraction 120/30 using GCF

The first way to simplify the fraction 120/30 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [30].

GCF of 120 and 30 is 30

And then divide both the numerator [120] and denominator [30] by the GCF [30].

120 ÷ 30

30 ÷ 30

=

4

1

Simplifying Fraction 120/30 using Prime Factors

Another method to reduce the fraction 120/30 to its simplest form is to use the Prime Factors of numerator [120] and denominator [30].

Prime Factors of 120: 2,2,2,3,5

Prime Factors of 30: 2,3,5

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 × 3 × 5

=

4

1

Simplifying Fraction 120/30 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [30] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

120 ÷ 2

30 ÷ 2

=

60

15

60 ÷ 3

15 ÷ 3

=

20

5

20 ÷ 5

5 ÷ 5

=

4

1

Related Calculations

120 is what percent greater than 30?

Fraction Simplification Table

Fraction	Lowest Terms
120/15	8/1
120/16	15/2
120/17	120/17
120/18	20/3
120/19	120/19
120/20	6/1
120/21	40/7
120/22	60/11
120/23	120/23
120/24	5/1
120/25	24/5
120/26	60/13
120/27	40/9
120/28	30/7
120/29	120/29
120/30	4/1
120/31	120/31
120/32	15/4
120/33	40/11
120/34	60/17
120/35	24/7
120/36	10/3
120/37	120/37
120/38	60/19
120/39	40/13
120/40	3/1
120/41	120/41
120/42	20/7
120/43	120/43
120/44	30/11

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 120/30 Simplified? (The answer is: 4/1). Enter the fraction (numerator and denominator) (e.g. '120/30') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 120/30) 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).

120/30 Simplified