30/75 Simplified

What is 30/75 Simplified?

Answer: Fraction 30/75 simplified to lowest terms is 2/5 (⅖)
30
/
75
=
2
/
5

2/5 (⅖) is the simplified fraction of 30/75.

Simplifying Fraction 30/75 using GCF

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

GCF of 30 and 75 is 15

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

30 ÷ 15
/
75 ÷ 15
=
2
/
5

Simplifying Fraction 30/75 using Prime Factors

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

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

2 × 3 × 5
/
3 × 5 × 5
=
2
/
5

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

In order to simplify our fraction we can start dividing both the numerator [30] 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.

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

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 30/75 Simplified? (The answer is: 2/5 (⅖)). Enter the fraction (numerator and denominator) (e.g. '30/75') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 30/75) 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).

Fraction Simplification Table

FAQ

What is 30/75 Simplified?

Fraction 30/75 simplified to lowest terms is 2/5 (⅖)