Simplify 64/216 to Lowest Terms
64/216 simplified to its lowest terms is 8/27 (or 0.296296 in decimal). See how to reduce 64/216 using Greatest Common Divisor (GCD = 8).
Exact Answer
64/216 = 8/27
Simplified Fraction
8/27
Mixed Number
Proper (8/27)
Decimal Value
0.296296
Percentage
29.6296%
Step-by-Step Solution: 64/216 = 8/27
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 64:
โข Factors of 216:
โข Factors of 64:
1, 2, 4, 8, 16, 32, 64โข Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(64, 216) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (64) and denominator (216) by 8.
64 รท 8/216 รท 8 = 8/27
Visual Representation
The diagram below illustrates Simplify 64/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/27 |
| Mixed Number Form | 8/27 |
| Decimal Form | 0.296296 |
| Percentage | 29.6296% |
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Frequently Asked Questions
What is 64/216 in simplest form?
64/216 simplified to lowest terms is 8/27.
What is the GCD (GCF) of 64 and 216?
The Greatest Common Divisor (GCD) of 64 and 216 is 8.
What are equivalent fractions to 64/216?
Equivalent fractions to 64/216 include 16/54, 24/81, and 32/108.