315/360 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

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 remainder.

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 Simplifier Calculator

Simplify the Fraction

Fraction Simplification Table

FractionLowest Terms
315/34521/23
315/346315/346
315/347315/347
315/348105/116
315/349315/349
315/3509/10
315/35135/39
315/352315/352
315/353315/353
315/354105/118
315/35563/71
315/356315/356
315/35715/17
315/358315/358
315/359315/359
315/3607/8 (⅞)
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)

What is 315/360 as a decimal?

Divide the reduced numerator by the reduced denominator: 7 ÷ 8 = 0.875, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 315 and 360?

The Greatest Common Factor of 315 and 360 is 45, and dividing the numerator and the denominator by it is what brings the fraction to 7/8 (⅞). A GCF of 1 means the fraction is already in lowest terms.

See Also