What is 315/360 Simplified to Simplest Form?

Fraction Simplifier Calculator

What is 315/360 Simplified?

Answer: Fraction 315/360 simplified to lowest terms is 7/8 (⅞)

315

/

360

=

7

/

8

7/8 (⅞) is the simplified fraction of 315/360.

Simplifying Fraction 315/360 using GCF

The first way to simplify the fraction 315/360 is to use the Greatest Common Factor (GCF) of our numerator [315] and denominator [360].

GCF of 315 and 360 is 45

And then divide both the numerator [315] and denominator [360] by the GCF [45].

315 ÷ 45

/

360 ÷ 45

=

7

/

8

Simplifying Fraction 315/360 using Prime Factors

Another method to reduce the fraction 315/360 to its simplest form is to use the Prime Factors of numerator [315] and denominator [360].

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

Prime Factors of 360: 2,2,2,3,3,5

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 × 2 × 3 × 3 × 5

=

7

/

8

Simplifying Fraction 315/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [315] and denominator [360] 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

/

360 ÷ 3

=

105

/

120

105 ÷ 3

/

120 ÷ 3

=

35

/

40

35 ÷ 5

/

40 ÷ 5

=

7

/

8

Fraction Simplification Table

Fraction	Lowest Terms
315/345	21/23
315/346	315/346
315/347	315/347
315/348	105/116
315/349	315/349
315/350	9/10
315/351	35/39
315/352	315/352
315/353	315/353
315/354	105/118
315/355	63/71
315/356	315/356
315/357	15/17
315/358	315/358
315/359	315/359
315/360	7/8 (⅞)
315/361	315/361
315/362	315/362
315/363	105/121
315/364	45/52
315/365	63/73
315/366	105/122
315/367	315/367
315/368	315/368
315/369	35/41
315/370	63/74
315/371	45/53
315/372	105/124
315/373	315/373
315/374	315/374

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 315/360 Simplified? (The answer is: 7/8 (⅞)). Enter the fraction (numerator and denominator) (e.g. '315/360') and hit the 'Simplify' button.

Simplifying a fraction, (e.g. 315/360) 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).

315/360 Simplified