What is 725/100 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 725/100 Simplified?

Answer: Fraction 725/100 simplified to lowest terms is 29/4

725

/

100

=

29

/

4

29/4 is the simplified fraction of 725/100.

Since the numerator [725] 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:

29

/

4

=7

1

/

4

Simplifying Fraction 725/100 using GCF

The first way to simplify the fraction 725/100 is to use the Greatest Common Factor (GCF) of our numerator [725] and denominator [100].

GCF of 725 and 100 is 25

And then divide both the numerator [725] and denominator [100] by the GCF [25].

725 ÷ 25

/

100 ÷ 25

=

29

/

4

Simplifying Fraction 725/100 using Prime Factors

Another method to reduce the fraction 725/100 to its simplest form is to use the Prime Factors of numerator [725] and denominator [100].

Prime Factors of 725: 5,5,29

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:

5 × 5 × 29

/

2 × 2 × 5 × 5

=

29

/

4

Simplifying Fraction 725/100 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [725] 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.

725 ÷ 5

/

100 ÷ 5

=

145

/

20

145 ÷ 5

/

20 ÷ 5

=

29

/

4

Fraction Simplification Table

Fraction	Lowest Terms
725/85	145/17
725/86	725/86
725/87	25/3
725/88	725/88
725/89	725/89
725/90	145/18
725/91	725/91
725/92	725/92
725/93	725/93
725/94	725/94
725/95	145/19
725/96	725/96
725/97	725/97
725/98	725/98
725/99	725/99
725/100	29/4
725/101	725/101
725/102	725/102
725/103	725/103
725/104	725/104
725/105	145/21
725/106	725/106
725/107	725/107
725/108	725/108
725/109	725/109
725/110	145/22
725/111	725/111
725/112	725/112
725/113	725/113
725/114	725/114

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 725/100 Simplified? (The answer is: 29/4). Enter the fraction (numerator and denominator) (e.g. '725/100') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 725/100) 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).

725/100 Simplified