875/100 Simplified

What is 875/100 Simplified?

Answer: Fraction 875/100 simplified to lowest terms is 35/4
875
/
100
=
35
/
4

35/4 is the simplified fraction of 875/100.

Since the numerator [875] 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:

35
/
4
=8
3
/
4

Simplifying Fraction 875/100 using GCF

The first way to simplify the fraction 875/100 is to use the Greatest Common Factor (GCF) of our numerator [875] and denominator [100].

GCF of 875 and 100 is 25

And then divide both the numerator [875] and denominator [100] by the GCF [25].

875 ÷ 25
/
100 ÷ 25
=
35
/
4

Simplifying Fraction 875/100 using Prime Factors

Another method to reduce the fraction 875/100 to its simplest form is to use the Prime Factors of numerator [875] 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 × 5 × 7
/
2 × 2 × 5 × 5
=
35
/
4

Simplifying Fraction 875/100 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [875] 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.

875 ÷ 5
/
100 ÷ 5
=
175
/
20
175 ÷ 5
/
20 ÷ 5
=
35
/
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 875/100 Simplified? (The answer is: 35/4). Enter the fraction (numerator and denominator) (e.g. '875/100') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 875/100) 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
875/85175/17
875/86875/86
875/87875/87
875/88875/88
875/89875/89
875/90175/18
875/91125/13
875/92875/92
875/93875/93
875/94875/94
875/95175/19
875/96875/96
875/97875/97
875/98125/14
875/99875/99
875/101875/101
875/102875/102
875/103875/103
875/104875/104
875/105
875/106875/106
875/107875/107
875/108875/108
875/109875/109
875/110175/22
875/111875/111
875/112125/16
875/113875/113
875/114875/114

FAQ

What is 875/100 Simplified?

Fraction 875/100 simplified to lowest terms is 35/4