What is 100/64 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 100/64 Simplified?

Answer: Fraction 100/64 simplified to lowest terms is 25/16

100

/

64

=

25

/

16

25/16 is the simplified fraction of 100/64.

Since the numerator [100] 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:

25

/

16

=1

9

/

16

Simplifying Fraction 100/64 using GCF

The first way to simplify the fraction 100/64 is to use the Greatest Common Factor (GCF) of our numerator [100] and denominator [64].

GCF of 100 and 64 is 4

And then divide both the numerator [100] and denominator [64] by the GCF [4].

100 ÷ 4

/

64 ÷ 4

=

25

/

16

Simplifying Fraction 100/64 using Prime Factors

Another method to reduce the fraction 100/64 to its simplest form is to use the Prime Factors of numerator [100] and denominator [64].

Prime Factors of 100: 2,2,5,5

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 × 5 × 5

/

2 × 2 × 2 × 2 × 2 × 2

=

25

/

16

Simplifying Fraction 100/64 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [100] 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 reminder.

100 ÷ 2

/

64 ÷ 2

=

50

/

32

50 ÷ 2

/

32 ÷ 2

=

25

/

16

Fraction Simplification Table

Fraction	Lowest Terms
100/49	100/49
100/50	2/1
100/51	100/51
100/52	25/13
100/53	100/53
100/54	50/27
100/55	20/11
100/56	25/14
100/57	100/57
100/58	50/29
100/59	100/59
100/60	5/3
100/61	100/61
100/62	50/31
100/63	100/63
100/64	25/16
100/65	20/13
100/66	50/33
100/67	100/67
100/68	25/17
100/69	100/69
100/70	10/7
100/71	100/71
100/72	25/18
100/73	100/73
100/74	50/37
100/75	4/3
100/76	25/19
100/77	100/77
100/78	50/39

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 100/64 Simplified? (The answer is: 25/16). Enter the fraction (numerator and denominator) (e.g. '100/64') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 100/64) 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).

100/64 Simplified