What is 675/100 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 675/100 Simplified?

Answer: Fraction 675/100 simplified to lowest terms is 27/4

675

/

100

=

27

/

4

27/4 is the simplified fraction of 675/100.

Since the numerator [675] is greater than the denominator [100] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

27

/

4

=6

3

/

4

Simplifying Fraction 675/100 using GCF

The first way to simplify the fraction 675/100 is to use the Greatest Common Factor (GCF) of our numerator [675] and denominator [100].

GCF of 675 and 100 is 25

And then divide both the numerator [675] and denominator [100] by the GCF [25].

675 ÷ 25

/

100 ÷ 25

=

27

/

4

Simplifying Fraction 675/100 using Prime Factors

Another method to reduce the fraction 675/100 to its simplest form is to use the Prime Factors of numerator [675] and denominator [100].

Prime Factors of 675: 3,3,3,5,5

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

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

3 × 3 × 3 × 5 × 5

/

2 × 2 × 5 × 5

=

27

/

4

Simplifying Fraction 675/100 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [675] and denominator [100] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

675 ÷ 5

/

100 ÷ 5

=

135

/

20

135 ÷ 5

/

20 ÷ 5

=

27

/

4

Fraction Simplification Table

Fraction	Lowest Terms
675/85	135/17
675/86	675/86
675/87	225/29
675/88	675/88
675/89	675/89
675/90	15/2
675/91	675/91
675/92	675/92
675/93	225/31
675/94	675/94
675/95	135/19
675/96	225/32
675/97	675/97
675/98	675/98
675/99	75/11
675/100	27/4
675/101	675/101
675/102	225/34
675/103	675/103
675/104	675/104
675/105	45/7
675/106	675/106
675/107	675/107
675/108	25/4
675/109	675/109
675/110	135/22
675/111	225/37
675/112	675/112
675/113	675/113
675/114	225/38

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 675/100 Simplified? (The answer is: 27/4). Enter the fraction (numerator and denominator) (e.g. '675/100') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 675/100) 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).

675/100 Simplified