What is 30/78 Simplified to Simplest Form?

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What is 30/78 Simplified?

Answer: Fraction 30/78 simplified to lowest terms is 5/13

30

/

78

=

5

/

13

5/13 is the simplified fraction of 30/78.

Simplifying Fraction 30/78 using GCF

The first way to simplify the fraction 30/78 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [78].

GCF of 30 and 78 is 6

And then divide both the numerator [30] and denominator [78] by the GCF [6].

30 ÷ 6

/

78 ÷ 6

=

5

/

13

Simplifying Fraction 30/78 using Prime Factors

Another method to reduce the fraction 30/78 to its simplest form is to use the Prime Factors of numerator [30] and denominator [78].

Prime Factors of 30: 2,3,5

Prime Factors of 78: 2,3,13

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 × 3 × 13

=

5

/

13

Simplifying Fraction 30/78 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [78] 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

/

78 ÷ 2

=

15

/

39

15 ÷ 3

/

39 ÷ 3

=

5

/

13

Related Calculations

What is 30 percent of 78?

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 30/78 Simplified? (The answer is: 5/13). Enter the fraction (numerator and denominator) (e.g. '30/78') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 30/78) 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).

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Fraction Simplification Table

Fraction	Lowest Terms
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
30/90	1/3 (⅓)
30/91	30/91
30/92	15/46

30/78 Simplified

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