What is 100/36 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 100/36 Simplified?

Answer: Fraction 100/36 simplified to lowest terms is 25/9

100

/

36

=

25

/

9

25/9 is the simplified fraction of 100/36.

Since the numerator [100] is greater than the denominator [36] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

25

/

9

=2

7

/

9

Simplifying Fraction 100/36 using GCF

The first way to simplify the fraction 100/36 is to use the Greatest Common Factor (GCF) of our numerator [100] and denominator [36].

GCF of 100 and 36 is 4

And then divide both the numerator [100] and denominator [36] by the GCF [4].

100 ÷ 4

/

36 ÷ 4

=

25

/

9

Simplifying Fraction 100/36 using Prime Factors

Another method to reduce the fraction 100/36 to its simplest form is to use the Prime Factors of numerator [100] and denominator [36].

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

Prime Factors of 36: 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:

2 × 2 × 5 × 5

/

2 × 2 × 3 × 3

=

25

/

9

Simplifying Fraction 100/36 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [100] and denominator [36] 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

/

36 ÷ 2

=

50

/

18

50 ÷ 2

/

18 ÷ 2

=

25

/

9

Fraction Simplification Table

Fraction	Lowest Terms
100/21	100/21
100/22	50/11
100/23	100/23
100/24	25/6
100/25	4/1
100/26	50/13
100/27	100/27
100/28	25/7
100/29	100/29
100/30	10/3
100/31	100/31
100/32	25/8
100/33	100/33
100/34	50/17
100/35	20/7
100/36	25/9
100/37	100/37
100/38	50/19
100/39	100/39
100/40	5/2
100/41	100/41
100/42	50/21
100/43	100/43
100/44	25/11
100/45	20/9
100/46	50/23
100/47	100/47
100/48	25/12
100/49	100/49
100/50	2/1

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 100/36 Simplified? (The answer is: 25/9). Enter the fraction (numerator and denominator) (e.g. '100/36') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 100/36) 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).

100/36 Simplified