What is 315/180 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 315/180 Simplified?

Answer: Fraction 315/180 simplified to lowest terms is 7/4

315

/

180

=

7

/

4

7/4 is the simplified fraction of 315/180.

Since the numerator [315] is greater than the denominator [180] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

7

/

4

=1

3

/

4

Simplifying Fraction 315/180 using GCF

The first way to simplify the fraction 315/180 is to use the Greatest Common Factor (GCF) of our numerator [315] and denominator [180].

GCF of 315 and 180 is 45

And then divide both the numerator [315] and denominator [180] by the GCF [45].

315 ÷ 45

/

180 ÷ 45

=

7

/

4

Simplifying Fraction 315/180 using Prime Factors

Another method to reduce the fraction 315/180 to its simplest form is to use the Prime Factors of numerator [315] and denominator [180].

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

Prime Factors of 180: 2,2,3,3,5

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

/

2 × 2 × 3 × 3 × 5

=

7

/

4

Simplifying Fraction 315/180 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [315] and denominator [180] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

315 ÷ 3

/

180 ÷ 3

=

105

/

60

105 ÷ 3

/

60 ÷ 3

=

35

/

20

35 ÷ 5

/

20 ÷ 5

=

7

/

4

Fraction Simplification Table

Fraction	Lowest Terms
315/165	21/11
315/166	315/166
315/167	315/167
315/168	15/8
315/169	315/169
315/170	63/34
315/171	35/19
315/172	315/172
315/173	315/173
315/174	105/58
315/175	9/5
315/176	315/176
315/177	105/59
315/178	315/178
315/179	315/179
315/180	7/4
315/181	315/181
315/182	45/26
315/183	105/61
315/184	315/184
315/185	63/37
315/186	105/62
315/187	315/187
315/188	315/188
315/189	5/3
315/190	63/38
315/191	315/191
315/192	105/64
315/193	315/193
315/194	315/194

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 315/180 Simplified? (The answer is: 7/4). Enter the fraction (numerator and denominator) (e.g. '315/180') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 315/180) 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).

315/180 Simplified