What is 78/120 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 78/120 Simplified?

Answer: Fraction 78/120 simplified to lowest terms is 13/20

78

/

120

=

13

/

20

13/20 is the simplified fraction of 78/120.

Simplifying Fraction 78/120 using GCF

The first way to simplify the fraction 78/120 is to use the Greatest Common Factor (GCF) of our numerator [78] and denominator [120].

GCF of 78 and 120 is 6

And then divide both the numerator [78] and denominator [120] by the GCF [6].

78 ÷ 6

/

120 ÷ 6

=

13

/

20

Simplifying Fraction 78/120 using Prime Factors

Another method to reduce the fraction 78/120 to its simplest form is to use the Prime Factors of numerator [78] and denominator [120].

Prime Factors of 78: 2,3,13

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

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

2 × 3 × 13

/

2 × 2 × 2 × 3 × 5

=

13

/

20

Simplifying Fraction 78/120 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [78] and denominator [120] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

78 ÷ 2

/

120 ÷ 2

=

39

/

60

39 ÷ 3

/

60 ÷ 3

=

13

/

20

Fraction Simplification Table

Fraction	Lowest Terms
78/105	26/35
78/106	39/53
78/107	78/107
78/108	13/18
78/109	78/109
78/110	39/55
78/111	26/37
78/112	39/56
78/113	78/113
78/114	13/19
78/115	78/115
78/116	39/58
78/117	2/3 (⅔)
78/118	39/59
78/119	78/119
78/120	13/20
78/121	78/121
78/122	39/61
78/123	26/41
78/124	39/62
78/125	78/125
78/126	13/21
78/127	78/127
78/128	39/64
78/129	26/43
78/130	3/5 (⅗)
78/131	78/131
78/132	13/22
78/133	78/133
78/134	39/67

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 78/120 Simplified? (The answer is: 13/20). Enter the fraction (numerator and denominator) (e.g. '78/120') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 78/120) 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).

78/120 Simplified