240/360 Simplified

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What is 240/360 Simplified?

Answer

Fraction 240/360 simplified to lowest terms is
2/3 (⅔)
240
360
=
2
3

2/3 (⅔) is the simplified fraction of 240/360.

Simplifying Fraction 240/360 using GCF

The first way to simplify the fraction 240/360 is to use the Greatest Common Factor (GCF) of our numerator [240] and denominator [360].

GCF of 240 and 360 is 120

And then divide both the numerator [240] and denominator [360] by the GCF [120].

240 ÷ 120
360 ÷ 120
=
2
3

Simplifying Fraction 240/360 using Prime Factors

Another method to reduce the fraction 240/360 to its simplest form is to use the Prime Factors of numerator [240] and denominator [360].

Prime Factors of 240: 2,2,2,2,3,5

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 × 2 × 2 × 3 × 5
2 × 2 × 2 × 3 × 3 × 5
=
2
3

Simplifying Fraction 240/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [240] 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.

240 ÷ 2
360 ÷ 2
=
120
180
120 ÷ 2
180 ÷ 2
=
60
90
60 ÷ 2
90 ÷ 2
=
30
45
30 ÷ 3
45 ÷ 3
=
10
15
10 ÷ 5
15 ÷ 5
=
2
3

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 240/360 Simplified? (The answer is: 2/3 (⅔)). Enter the fraction (numerator and denominator) (e.g. '240/360') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 240/360) 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
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Fraction Simplification Table

FractionLowest Terms
240/34516/23
240/346120/173
240/347240/347
240/34820/29
240/349240/349
240/35024/35
240/35180/117
240/35215/22
240/353240/353
240/35440/59
240/35548/71
240/35660/89
240/35780/119
240/358120/179
240/359240/359
240/3602/3 (⅔)
240/361240/361
240/362120/181
240/36380/121
240/36460/91
240/36548/73
240/36640/61
240/367240/367
240/36815/23
240/36980/123
240/37024/37
240/371240/371
240/37220/31
240/373240/373
240/374120/187

FAQ

What is 240/360 Simplified?

Fraction 240/360 simplified to lowest terms is 2/3 (⅔)

What is 240/360 as a decimal?

Divide the reduced numerator by the reduced denominator: 2 ÷ 3 = 0.667, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 240 and 360?

The Greatest Common Factor of 240 and 360 is 120, and dividing the numerator and the denominator by it is what brings the fraction to 2/3 (⅔). A GCF of 1 means the fraction is already in lowest terms.

See Also