What is 315/231 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 315/231 Simplified?

Answer

Fraction 315/231 simplified to lowest terms is 15/11

315

231

=

15

11

15/11 is the simplified fraction of 315/231.

Since the numerator [315] is greater than the denominator [231] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

15

11

=1

4

11

Simplifying Fraction 315/231 using GCF

The first way to simplify the fraction 315/231 is to use the Greatest Common Factor (GCF) of our numerator [315] and denominator [231].

GCF of 315 and 231 is 21

And then divide both the numerator [315] and denominator [231] by the GCF [21].

315 ÷ 21

231 ÷ 21

=

15

11

Simplifying Fraction 315/231 using Prime Factors

Another method to reduce the fraction 315/231 to its simplest form is to use the Prime Factors of numerator [315] and denominator [231].

Prime Factors of 315: 3,3,5,7

Prime Factors of 231: 3,7,11

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

3 × 3 × 5 × 7

3 × 7 × 11

=

15

11

Simplifying Fraction 315/231 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [315] and denominator [231] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

315 ÷ 3

231 ÷ 3

=

105

77

105 ÷ 7

77 ÷ 7

=

15

11

Fraction Simplification Table

Fraction	Lowest Terms
315/216	35/24
315/217	45/31
315/218	315/218
315/219	105/73
315/220	63/44
315/221	315/221
315/222	105/74
315/223	315/223
315/224	45/32
315/225	7/5
315/226	315/226
315/227	315/227
315/228	105/76
315/229	315/229
315/230	63/46
315/231	15/11
315/232	315/232
315/233	315/233
315/234	35/26
315/235	63/47
315/236	315/236
315/237	105/79
315/238	45/34
315/239	315/239
315/240	21/16
315/241	315/241
315/242	315/242
315/243	35/27
315/244	315/244
315/245	9/7

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 315/231 Simplified? (The answer is: 15/11). Enter the fraction (numerator and denominator) (e.g. '315/231') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 315/231) 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).

315/231 Simplified