What is 30/75 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 30/75 Simplified?

Answer: Fraction 30/75 simplified to lowest terms is 2/5 (⅖)

30

/

75

=

2

/

5

2/5 (⅖) is the simplified fraction of 30/75.

Simplifying Fraction 30/75 using GCF

The first way to simplify the fraction 30/75 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [75].

GCF of 30 and 75 is 15

And then divide both the numerator [30] and denominator [75] by the GCF [15].

30 ÷ 15

/

75 ÷ 15

=

2

/

5

Simplifying Fraction 30/75 using Prime Factors

Another method to reduce the fraction 30/75 to its simplest form is to use the Prime Factors of numerator [30] and denominator [75].

Prime Factors of 30: 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 × 3 × 5

/

3 × 5 × 5

=

2

/

5

Simplifying Fraction 30/75 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] 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.

30 ÷ 3

/

75 ÷ 3

=

10

/

25

10 ÷ 5

/

25 ÷ 5

=

2

/

5

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
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
30/87	10/29
30/88	15/44
30/89	30/89

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 30/75 Simplified? (The answer is: 2/5 (⅖)). Enter the fraction (numerator and denominator) (e.g. '30/75') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/75) 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).

30/75 Simplified