Simplify 36/216 to Lowest Terms
36/216 simplified to its lowest terms is 1/6 (or 0.166667 in decimal). See how to reduce 36/216 using Greatest Common Divisor (GCD = 36).
Exact Answer
36/216 = 1/6
Simplified Fraction
1/6
Mixed Number
Proper (1/6)
Decimal Value
0.166667
Percentage
16.6667%
Step-by-Step Solution: 36/216 = 1/6
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 36:
• Factors of 216:
• Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(36, 216) = 36
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 36. Divide both the numerator (36) and denominator (216) by 36.
36 ÷ 36/216 ÷ 36 = 1/6
Visual Representation
The diagram below illustrates Simplify 36/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/6 |
| Mixed Number Form | 1/6 |
| Decimal Form | 0.166667 |
| Percentage | 16.6667% |
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Frequently Asked Questions
What is 36/216 in simplest form?
36/216 simplified to lowest terms is 1/6.
What is the GCD (GCF) of 36 and 216?
The Greatest Common Divisor (GCD) of 36 and 216 is 36.
What are equivalent fractions to 36/216?
Equivalent fractions to 36/216 include 2/12, 3/18, and 4/24.