What is 120/75 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 120/75 Simplified?

Answer: Fraction 120/75 simplified to lowest terms is 8/5

120

/

75

=

8

/

5

8/5 is the simplified fraction of 120/75.

Since the numerator [120] is greater than the denominator [75] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

8

/

5

=1

3

/

5

Simplifying Fraction 120/75 using GCF

The first way to simplify the fraction 120/75 is to use the Greatest Common Factor (GCF) of our numerator [120] and denominator [75].

GCF of 120 and 75 is 15

And then divide both the numerator [120] and denominator [75] by the GCF [15].

120 ÷ 15

/

75 ÷ 15

=

8

/

5

Simplifying Fraction 120/75 using Prime Factors

Another method to reduce the fraction 120/75 to its simplest form is to use the Prime Factors of numerator [120] and denominator [75].

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

Prime Factors of 75: 3,5,5

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

/

3 × 5 × 5

=

8

/

5

Simplifying Fraction 120/75 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [120] and denominator [75] 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 ÷ 3

/

75 ÷ 3

=

40

/

25

40 ÷ 5

/

25 ÷ 5

=

8

/

5

Fraction Simplification Table

Fraction	Lowest Terms
120/60	2/1
120/61	120/61
120/62	60/31
120/63	40/21
120/64	15/8
120/65	24/13
120/66	20/11
120/67	120/67
120/68	30/17
120/69	40/23
120/70	12/7
120/71	120/71
120/72	5/3
120/73	120/73
120/74	60/37
120/75	8/5
120/76	30/19
120/77	120/77
120/78	20/13
120/79	120/79
120/80	3/2
120/81	40/27
120/82	60/41
120/83	120/83
120/84	10/7
120/85	24/17
120/86	60/43
120/87	40/29
120/88	15/11
120/89	120/89

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 120/75 Simplified? (The answer is: 8/5). Enter the fraction (numerator and denominator) (e.g. '120/75') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 120/75) 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).

120/75 Simplified