216/512 Simplified

What is 216/512 Simplified?

Answer: Fraction 216/512 simplified to lowest terms is 27/64
216
/
512
=
27
/
64

27/64 is the simplified fraction of 216/512.

Simplifying Fraction 216/512 using GCF

The first way to simplify the fraction 216/512 is to use the Greatest Common Factor (GCF) of our numerator [216] and denominator [512].

GCF of 216 and 512 is 8

And then divide both the numerator [216] and denominator [512] by the GCF [8].

216 ÷ 8
/
512 ÷ 8
=
27
/
64

Simplifying Fraction 216/512 using Prime Factors

Another method to reduce the fraction 216/512 to its simplest form is to use the Prime Factors of numerator [216] and denominator [512].

Prime Factors of 216: 2,2,2,3,3,3

Prime Factors of 512: 2,2,2,2,2,2,2,2,2

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 3 × 3 × 3
/
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
=
27
/
64

Simplifying Fraction 216/512 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [216] and denominator [512] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

216 ÷ 2
/
512 ÷ 2
=
108
/
256
108 ÷ 2
/
256 ÷ 2
=
54
/
128
54 ÷ 2
/
128 ÷ 2
=
27
/
64

Fraction Simplification Table

FractionLowest Terms
216/497216/497
216/49836/83
216/499216/499
216/50054/125
216/50172/167
216/502108/251
216/503216/503
216/504
216/505216/505
216/506108/253
216/50772/169
216/50854/127
216/509216/509
216/51036/85
216/511216/511
27/64
216/513
216/514108/257
216/515216/515
216/51618/43
216/517216/517
216/518108/259
216/51972/173
216/52027/65
216/521216/521
216/522
216/523216/523
216/52454/131
216/52572/175
216/526108/263

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 216/512 Simplified? (The answer is: 27/64). Enter the fraction (numerator and denominator) (e.g. '216/512') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 216/512) 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 216/512 Simplified?

Fraction 216/512 simplified to lowest terms is 27/64