What is 72/64 Simplified to Simplest Form?

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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 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).

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Fraction Simplification Table

Fraction	Lowest Terms
72/18	4/1
72/20	18/5
72/24	3/1
72/27	8/3
72/28	18/7
72/30	12/5
72/35	72/35
72/36	2/1
72/40	9/5
72/45	8/5
72/48	3/2
72/54	4/3
72/56	9/7
72/60	6/5
72/63	8/7
72/64	9/8
72/65	72/65
72/76	18/19
72/78	12/13
72/80	9/10
72/81	8/9
72/84	6/7
72/88	9/11
72/90	4/5 (⅘)
72/96	3/4 (¾)
72/97	72/97
72/99	8/11
72/100	18/25
72/108	2/3 (⅔)
72/110	36/55

72/64 Simplified

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