What is 30/72 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 30/72 Simplified?

Answer

Fraction 30/72 simplified to lowest terms is 5/12

30

72

=

5

12

5/12 is the simplified fraction of 30/72.

Simplifying Fraction 30/72 using GCF

The first way to simplify the fraction 30/72 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [72].

GCF of 30 and 72 is 6

And then divide both the numerator [30] and denominator [72] by the GCF [6].

30 ÷ 6

72 ÷ 6

=

5

12

Simplifying Fraction 30/72 using Prime Factors

Another method to reduce the fraction 30/72 to its simplest form is to use the Prime Factors of numerator [30] and denominator [72].

Prime Factors of 30: 2,3,5

Prime Factors of 72: 2,2,2,3,3

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 3 × 5

2 × 2 × 2 × 3 × 3

=

5

12

Simplifying Fraction 30/72 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [72] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

30 ÷ 2

72 ÷ 2

=

15

36

15 ÷ 3

36 ÷ 3

=

5

12

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
30/57	10/19
30/58	15/29
30/59	30/59
30/60	1/2 (½)
30/61	30/61
30/62	15/31
30/63	10/21
30/64	15/32
30/65	6/13
30/66	5/11
30/67	30/67
30/68	15/34
30/69	10/23
30/70	3/7
30/71	30/71
30/72	5/12
30/73	30/73
30/74	15/37
30/75	2/5 (⅖)
30/76	15/38
30/77	30/77
30/78	5/13
30/79	30/79
30/80	3/8 (⅜)
30/81	10/27
30/82	15/41
30/83	30/83
30/84	5/14
30/85	6/17
30/86	15/43

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 30/72 Simplified? (The answer is: 5/12). Enter the fraction (numerator and denominator) (e.g. '30/72') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/72) 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).

30/72 Simplified