What is 100/75 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 100/75 Simplified?

Answer: Fraction 100/75 simplified to lowest terms is 4/3

100

/

75

=

4

/

3

4/3 is the simplified fraction of 100/75.

Since the numerator [100] is greater than the denominator [75] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

4

/

3

=1

1

/

3

Simplifying Fraction 100/75 using GCF

The first way to simplify the fraction 100/75 is to use the Greatest Common Factor (GCF) of our numerator [100] and denominator [75].

GCF of 100 and 75 is 25

And then divide both the numerator [100] and denominator [75] by the GCF [25].

100 ÷ 25

/

75 ÷ 25

=

4

/

3

Simplifying Fraction 100/75 using Prime Factors

Another method to reduce the fraction 100/75 to its simplest form is to use the Prime Factors of numerator [100] and denominator [75].

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

Prime Factors of 75: 3,5,5

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

2 × 2 × 5 × 5

/

3 × 5 × 5

=

4

/

3

Simplifying Fraction 100/75 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [100] and denominator [75] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

100 ÷ 5

/

75 ÷ 5

=

20

/

15

20 ÷ 5

/

15 ÷ 5

=

4

/

3

Related Calculations

Fraction Simplification Table

Fraction	Lowest Terms
100/60	5/3
100/61	100/61
100/62	50/31
100/63	100/63
100/64	25/16
100/65	20/13
100/66	50/33
100/67	100/67
100/68	25/17
100/69	100/69
100/70	10/7
100/71	100/71
100/72	25/18
100/73	100/73
100/74	50/37
100/75	4/3
100/76	25/19
100/77	100/77
100/78	50/39
100/79	100/79
100/80	5/4
100/81	100/81
100/82	50/41
100/83	100/83
100/84	25/21
100/85	20/17
100/86	50/43
100/87	100/87
100/88	25/22
100/89	100/89

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 100/75 Simplified? (The answer is: 4/3). Enter the fraction (numerator and denominator) (e.g. '100/75') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 100/75) 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).

100/75 Simplified