288/360 Simplified

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 reminder.

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 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
288/352
288/353288/353
288/35448/59
288/355288/355
288/35672/89
288/35796/119
288/358144/179
288/359288/359
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

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).

FAQ

What is 288/360 Simplified?

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