725/100 Simplified

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].

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

See Also

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).

Fraction Simplification Table

FractionLowest Terms
725/85145/17
725/86725/86
725/87
725/88725/88
725/89725/89
725/90145/18
725/91725/91
725/92725/92
725/93725/93
725/94725/94
725/95145/19
725/96725/96
725/97725/97
725/98725/98
725/99725/99
29/4
725/101725/101
725/102725/102
725/103725/103
725/104725/104
725/105145/21
725/106725/106
725/107725/107
725/108725/108
725/109725/109
725/110145/22
725/111725/111
725/112725/112
725/113725/113
725/114725/114

FAQ

What is 725/100 Simplified?

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