What is 72/64 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 72/64 Simplified?

Answer

Fraction 72/64 simplified to lowest terms is 9/8

72

64

=

9

8

9/8 is the simplified fraction of 72/64.

Since the numerator [72] is greater than the denominator [64] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

9

8

=1

1

8

Simplifying Fraction 72/64 using GCF

The first way to simplify the fraction 72/64 is to use the Greatest Common Factor (GCF) of our numerator [72] and denominator [64].

GCF of 72 and 64 is 8

And then divide both the numerator [72] and denominator [64] by the GCF [8].

72 ÷ 8

64 ÷ 8

=

9

8

Simplifying Fraction 72/64 using Prime Factors

Another method to reduce the fraction 72/64 to its simplest form is to use the Prime Factors of numerator [72] and denominator [64].

Prime Factors of 72: 2,2,2,3,3

Prime Factors of 64: 2,2,2,2,2,2

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

2 × 2 × 2 × 3 × 3

2 × 2 × 2 × 2 × 2 × 2

=

9

8

Simplifying Fraction 72/64 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [72] and denominator [64] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

72 ÷ 2

64 ÷ 2

=

36

32

36 ÷ 2

32 ÷ 2

=

18

16

18 ÷ 2

16 ÷ 2

=

9

8

Fraction Simplification Table

Fraction	Lowest Terms
72/49	72/49
72/50	36/25
72/51	24/17
72/52	18/13
72/53	72/53
72/54	4/3
72/55	72/55
72/56	9/7
72/57	24/19
72/58	36/29
72/59	72/59
72/60	6/5
72/61	72/61
72/62	36/31
72/63	8/7
72/64	9/8
72/65	72/65
72/66	12/11
72/67	72/67
72/68	18/17
72/69	24/23
72/70	36/35
72/71	72/71
72/72	1/1
72/73	72/73
72/74	36/37
72/75	24/25
72/76	18/19
72/77	72/77
72/78	12/13

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 72/64 Simplified? (The answer is: 9/8). Enter the fraction (numerator and denominator) (e.g. '72/64') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 72/64) 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).

72/64 Simplified