315/360 Simplified

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].

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

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 315/360 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).

Fraction Simplification Table

FractionLowest Terms
315/34521/23
315/346315/346
315/347315/347
315/348105/116
315/349315/349
315/350
315/35135/39
315/352315/352
315/353315/353
315/354105/118
315/35563/71
315/356315/356
315/357
315/358315/358
315/359315/359
315/361315/361
315/362315/362
315/363105/121
315/36445/52
315/36563/73
315/366105/122
315/367315/367
315/368315/368
315/36935/41
315/37063/74
315/37145/53
315/372105/124
315/373315/373
315/374315/374

FAQ

What is 315/360 Simplified?

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