30/14 Simplified

What is 30/14 Simplified?

Answer: Fraction 30/14 simplified to lowest terms is 15/7
30
/
14
=
15
/
7

15/7 is the simplified fraction of 30/14.

Since the numerator [30] is greater than the denominator [14] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

15
/
7
=2
1
/
7

Simplifying Fraction 30/14 using GCF

The first way to simplify the fraction 30/14 is to use the Greatest Common Factor (GCF) of our numerator [30] and denominator [14].

GCF of 30 and 14 is 2

And then divide both the numerator [30] and denominator [14] by the GCF [2].

30 ÷ 2
/
14 ÷ 2
=
15
/
7

Simplifying Fraction 30/14 using Prime Factors

Another method to reduce the fraction 30/14 to its simplest form is to use the Prime Factors of numerator [30] and denominator [14].

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

2 × 3 × 5
/
2 × 7
=
15
/
7

Simplifying Fraction 30/14 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [30] and denominator [14] 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 ÷ 2
/
14 ÷ 2
=
15
/
7

Related Calculations

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 30/14 Simplified? (The answer is: 15/7). Enter the fraction (numerator and denominator) (e.g. '30/14') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 30/14) 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 30/14 Simplified?

Fraction 30/14 simplified to lowest terms is 15/7