288/360 Simplified

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What is 288/360 Simplified?

Answer

Fraction 288/360 simplified to lowest terms is
4/5 (⅘)
288
360
=
4
5

4/5 (⅘) is the simplified fraction of 288/360.

Simplifying Fraction 288/360 using GCF

The first way to simplify the fraction 288/360 is to use the Greatest Common Factor (GCF) of our numerator [288] and denominator [360].

GCF of 288 and 360 is 72

And then divide both the numerator [288] and denominator [360] by the GCF [72].

288 ÷ 72
360 ÷ 72
=
4
5

Simplifying Fraction 288/360 using Prime Factors

Another method to reduce the fraction 288/360 to its simplest form is to use the Prime Factors of numerator [288] and denominator [360].

Prime Factors of 288: 2,2,2,2,2,3,3

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 × 2 × 2 × 2 × 3 × 3
2 × 2 × 2 × 3 × 3 × 5
=
4
5

Simplifying Fraction 288/360 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [288] 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.

288 ÷ 2
360 ÷ 2
=
144
180
144 ÷ 2
180 ÷ 2
=
72
90
72 ÷ 2
90 ÷ 2
=
36
45
36 ÷ 3
45 ÷ 3
=
12
15
12 ÷ 3
15 ÷ 3
=
4
5

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 288/360 Simplified? (The answer is: 4/5 (⅘)). Enter the fraction (numerator and denominator) (e.g. '288/360') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 288/360) 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
288/34596/115
288/346144/173
288/347288/347
288/34824/29
288/349288/349
288/350144/175
288/35132/39
288/3529/11
288/353288/353
288/35448/59
288/355288/355
288/35672/89
288/35796/119
288/358144/179
288/359288/359
288/3604/5 (⅘)
288/361288/361
288/362144/181
288/36396/121
288/36472/91
288/365288/365
288/36648/61
288/367288/367
288/36818/23
288/36932/41
288/370144/185
288/371288/371
288/37224/31
288/373288/373
288/374144/187

FAQ

What is 288/360 Simplified?

Fraction 288/360 simplified to lowest terms is 4/5 (⅘)

What is 288/360 as a decimal?

Divide the reduced numerator by the reduced denominator: 4 ÷ 5 = 0.8, rounded to three decimal places. Reducing the fraction first does not change the value, only the numbers you divide.

What is the GCF of 288 and 360?

The Greatest Common Factor of 288 and 360 is 72, and dividing the numerator and the denominator by it is what brings the fraction to 4/5 (⅘). A GCF of 1 means the fraction is already in lowest terms.

See Also