What is 117/72 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 117/72 Simplified?

Answer

Fraction 117/72 simplified to lowest terms is 13/8

117

72

=

13

8

13/8 is the simplified fraction of 117/72.

Since the numerator [117] is greater than the denominator [72] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

13

8

=1

5

8

Simplifying Fraction 117/72 using GCF

The first way to simplify the fraction 117/72 is to use the Greatest Common Factor (GCF) of our numerator [117] and denominator [72].

GCF of 117 and 72 is 9

And then divide both the numerator [117] and denominator [72] by the GCF [9].

117 ÷ 9

72 ÷ 9

=

13

8

Simplifying Fraction 117/72 using Prime Factors

Another method to reduce the fraction 117/72 to its simplest form is to use the Prime Factors of numerator [117] and denominator [72].

Prime Factors of 117: 3,3,13

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:

3 × 3 × 13

2 × 2 × 2 × 3 × 3

=

13

8

Simplifying Fraction 117/72 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [117] 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.

117 ÷ 3

72 ÷ 3

=

39

24

39 ÷ 3

24 ÷ 3

=

13

8

Fraction Simplification Table

Fraction	Lowest Terms
117/57	39/19
117/58	117/58
117/59	117/59
117/60	39/20
117/61	117/61
117/62	117/62
117/63	13/7
117/64	117/64
117/65	9/5
117/66	39/22
117/67	117/67
117/68	117/68
117/69	39/23
117/70	117/70
117/71	117/71
117/72	13/8
117/73	117/73
117/74	117/74
117/75	39/25
117/76	117/76
117/77	117/77
117/78	3/2
117/79	117/79
117/80	117/80
117/81	13/9
117/82	117/82
117/83	117/83
117/84	39/28
117/85	117/85
117/86	117/86

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 117/72 Simplified? (The answer is: 13/8). Enter the fraction (numerator and denominator) (e.g. '117/72') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 117/72) 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).

117/72 Simplified