975/100 Simplified

What is 975/100 Simplified?

Answer: Fraction 975/100 simplified to lowest terms is 39/4
975
/
100
=
39
/
4

39/4 is the simplified fraction of 975/100.

Since the numerator [975] 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:

39
/
4
=9
3
/
4

Simplifying Fraction 975/100 using GCF

The first way to simplify the fraction 975/100 is to use the Greatest Common Factor (GCF) of our numerator [975] and denominator [100].

GCF of 975 and 100 is 25

And then divide both the numerator [975] and denominator [100] by the GCF [25].

975 ÷ 25
/
100 ÷ 25
=
39
/
4

Simplifying Fraction 975/100 using Prime Factors

Another method to reduce the fraction 975/100 to its simplest form is to use the Prime Factors of numerator [975] and denominator [100].

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

3 × 5 × 5 × 13
/
2 × 2 × 5 × 5
=
39
/
4

Simplifying Fraction 975/100 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [975] 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.

975 ÷ 5
/
100 ÷ 5
=
195
/
20
195 ÷ 5
/
20 ÷ 5
=
39
/
4

Fraction Simplification Table

FractionLowest Terms
975/85195/17
975/86975/86
975/87325/29
975/88975/88
975/89975/89
975/90
975/91
975/92975/92
975/93325/31
975/94975/94
975/95195/19
975/96325/32
975/97975/97
975/98975/98
975/99325/33
39/4
975/101975/101
975/102325/34
975/103975/103
975/104
975/105
975/106975/106
975/107975/107
975/108325/36
975/109975/109
975/110195/22
975/111325/37
975/112975/112
975/113975/113
975/114325/38

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 975/100 Simplified? (The answer is: 39/4). Enter the fraction (numerator and denominator) (e.g. '975/100') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 975/100) 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).

FAQ

What is 975/100 Simplified?

Fraction 975/100 simplified to lowest terms is 39/4