What is 30/84 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 30/84 Simplified?

Answer: Fraction 30/84 simplified to lowest terms is 5/14

30

/

84

=

5

/

14

5/14 is the simplified fraction of 30/84.

Simplifying Fraction 30/84 using GCF

The first way to simplify the fraction 30/84 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [84].

GCF of 30 and 84 is 6

And then divide both the numerator [30] and denominator [84] by the GCF [6].

30 ÷ 6

/

84 ÷ 6

=

5

/

14

Simplifying Fraction 30/84 using Prime Factors

Another method to reduce the fraction 30/84 to its simplest form is to use the Prime Factors of numerator [30] and denominator [84].

Prime Factors of 30: 2,3,5

Prime Factors of 84: 2,2,3,7

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 × 3 × 7

=

5

/

14

Simplifying Fraction 30/84 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [84] 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 ÷ 2

/

84 ÷ 2

=

15

/

42

15 ÷ 3

/

42 ÷ 3

=

5

/

14

Related Calculations

What is 30 percent of 84?

Fraction Simplification Table

Fraction	Lowest Terms
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
30/90	1/3 (⅓)
30/91	30/91
30/92	15/46
30/93	10/31
30/94	15/47
30/95	6/19
30/96	5/16
30/97	30/97
30/98	15/49

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 30/84 Simplified? (The answer is: 5/14). Enter the fraction (numerator and denominator) (e.g. '30/84') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/84) 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).

30/84 Simplified