What is 120/32 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 120/32 Simplified?

Answer

Fraction 120/32 simplified to lowest terms is 15/4

120

32

=

15

4

15/4 is the simplified fraction of 120/32.

Since the numerator [120] is greater than the denominator [32] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

15

4

=3

3

4

Simplifying Fraction 120/32 using GCF

The first way to simplify the fraction 120/32 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [32].

GCF of 120 and 32 is 8

And then divide both the numerator [120] and denominator [32] by the GCF [8].

120 ÷ 8

32 ÷ 8

=

15

4

Simplifying Fraction 120/32 using Prime Factors

Another method to reduce the fraction 120/32 to its simplest form is to use the Prime Factors of numerator [120] and denominator [32].

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

Prime Factors of 32: 2,2,2,2,2

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 × 2

=

15

4

Simplifying Fraction 120/32 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [32] 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

32 ÷ 2

=

60

16

60 ÷ 2

16 ÷ 2

=

30

8

30 ÷ 2

8 ÷ 2

=

15

4

Fraction Simplification Table

Fraction	Lowest Terms
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
120/45	8/3
120/46	60/23

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 120/32 Simplified? (The answer is: 15/4). Enter the fraction (numerator and denominator) (e.g. '120/32') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 120/32) 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).

120/32 Simplified