75/30 Simplified

What is 75/30 Simplified?

Answer: Fraction 75/30 simplified to lowest terms is 5/2
75
/
30
=
5
/
2

5/2 is the simplified fraction of 75/30.

Since the numerator [75] is greater than the denominator [30] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

5
/
2
=2
1
/
2

Simplifying Fraction 75/30 using GCF

The first way to simplify the fraction 75/30 is to use the Greatest Common Factor (GCF) of our numerator [75] and denominator [30].

GCF of 75 and 30 is 15

And then divide both the numerator [75] and denominator [30] by the GCF [15].

75 ÷ 15
/
30 ÷ 15
=
5
/
2

Simplifying Fraction 75/30 using Prime Factors

Another method to reduce the fraction 75/30 to its simplest form is to use the Prime Factors of numerator [75] and denominator [30].

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

3 × 5 × 5
/
2 × 3 × 5
=
5
/
2

Simplifying Fraction 75/30 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [75] and denominator [30] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

75 ÷ 3
/
30 ÷ 3
=
25
/
10
25 ÷ 5
/
10 ÷ 5
=
5
/
2

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 75/30 Simplified? (The answer is: 5/2). Enter the fraction (numerator and denominator) (e.g. '75/30') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 75/30) 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
75/1675/16
75/1775/17
75/18
75/1975/19
75/20
75/21
75/2275/22
75/2375/23
75/24
75/2675/26
75/27
75/2875/28
75/2975/29
75/3175/31
75/3275/32
75/33
75/3475/34
75/35
75/3625/12
75/3775/37
75/3875/38
75/3925/13
75/4175/41
75/4225/14
75/4375/43
75/4475/44

FAQ

What is 75/30 Simplified?

Fraction 75/30 simplified to lowest terms is 5/2