324/360 Simplified

Fraction Simplifier Calculator

Simplify the Fraction

What is 324/360 Simplified?

Answer

Fraction 324/360 simplified to lowest terms is
9/10
324
360
=
9
10

9/10 is the simplified fraction of 324/360.

Simplifying Fraction 324/360 using GCF

The first way to simplify the fraction 324/360 is to use the Greatest Common Factor (GCF) of our numerator [324] and denominator [360].

GCF of 324 and 360 is 36

And then divide both the numerator [324] and denominator [360] by the GCF [36].

324 ÷ 36
360 ÷ 36
=
9
10

Simplifying Fraction 324/360 using Prime Factors

Another method to reduce the fraction 324/360 to its simplest form is to use the Prime Factors of numerator [324] and denominator [360].

Prime Factors of 324: 2,2,3,3,3,3

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:

2 × 2 × 3 × 3 × 3 × 3
2 × 2 × 2 × 3 × 3 × 5
=
9
10

Simplifying Fraction 324/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [324] 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.

324 ÷ 2
360 ÷ 2
=
162
180
162 ÷ 2
180 ÷ 2
=
81
90
81 ÷ 3
90 ÷ 3
=
27
30
27 ÷ 3
30 ÷ 3
=
9
10

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 324/360 Simplified? (The answer is: 9/10). Enter the fraction (numerator and denominator) (e.g. '324/360') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 324/360) 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
324/345108/115
324/346162/173
324/347324/347
324/34827/29
324/349324/349
324/350162/175
324/35112/13
324/35281/88
324/353324/353
324/35454/59
324/355324/355
324/35681/89
324/357108/119
324/358162/179
324/359324/359
324/3609/10
324/361324/361
324/362162/181
324/363108/121
324/36481/91
324/365324/365
324/36654/61
324/367324/367
324/36881/92
324/36936/41
324/370162/185
324/371324/371
324/37227/31
324/373324/373
324/374162/187

FAQ

What is 324/360 Simplified?

Fraction 324/360 simplified to lowest terms is 9/10

What is 324/360 as a decimal?

Divide the reduced numerator by the reduced denominator: 9 ÷ 10 = 0.9, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 324 and 360?

The Greatest Common Factor of 324 and 360 is 36, and dividing the numerator and the denominator by it is what brings the fraction to 9/10. A GCF of 1 means the fraction is already in lowest terms.

See Also