216/64 Simplified

What is 216/64 Simplified?

Answer: Fraction 216/64 simplified to lowest terms is 27/8
216
/
64
=
27
/
8

27/8 is the simplified fraction of 216/64.

Since the numerator [216] is greater than the denominator [64] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

27
/
8
=3
3
/
8

Simplifying Fraction 216/64 using GCF

The first way to simplify the fraction 216/64 is to use the Greatest Common Factor (GCF) of our numerator [216] and denominator [64].

GCF of 216 and 64 is 8

And then divide both the numerator [216] and denominator [64] by the GCF [8].

216 ÷ 8
/
64 ÷ 8
=
27
/
8

Simplifying Fraction 216/64 using Prime Factors

Another method to reduce the fraction 216/64 to its simplest form is to use the Prime Factors of numerator [216] and denominator [64].

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

Prime Factors of 64: 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
=
27
/
8

Simplifying Fraction 216/64 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [216] and denominator [64] 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
/
64 ÷ 2
=
108
/
32
108 ÷ 2
/
32 ÷ 2
=
54
/
16
54 ÷ 2
/
16 ÷ 2
=
27
/
8

Fraction Simplification Table

FractionLowest Terms
216/49216/49
216/50108/25
216/5172/17
216/5254/13
216/53216/53
216/54
216/55216/55
216/56
216/5772/19
216/58108/29
216/59216/59
216/60
216/61216/61
216/62108/31
216/6324/7
216/65216/65
216/6636/11
216/67216/67
216/6854/17
216/6972/23
216/70108/35
216/71216/71
216/72
216/73216/73
216/74108/37
216/7572/25
216/7654/19
216/77216/77
216/7836/13

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 216/64 Simplified? (The answer is: 27/8). Enter the fraction (numerator and denominator) (e.g. '216/64') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 216/64) 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 216/64 Simplified?

Fraction 216/64 simplified to lowest terms is 27/8