315/180 Simplified

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].

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

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 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).

Fraction Simplification Table

FractionLowest Terms
315/165
315/166315/166
315/167315/167
315/168
315/169315/169
315/17063/34
315/17135/19
315/172315/172
315/173315/173
315/174105/58
315/175
315/176315/176
315/177105/59
315/178315/178
315/179315/179
315/181315/181
315/18245/26
315/183105/61
315/184315/184
315/18563/37
315/186105/62
315/187315/187
315/188315/188
315/189
315/19063/38
315/191315/191
315/192105/64
315/193315/193
315/194315/194

FAQ

What is 315/180 Simplified?

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