Simplify 72/216 to Lowest Terms
72/216 simplified to its lowest terms is 1/3 (or 0.333333 in decimal). See how to reduce 72/216 using Greatest Common Divisor (GCD = 72).
Exact Answer
72/216 = 1/3
Simplified Fraction
1/3
Mixed Number
Proper (1/3)
Decimal Value
0.333333
Percentage
33.3333%
Step-by-Step Solution: 72/216 = 1/3
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 216:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(72, 216) = 72
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 72. Divide both the numerator (72) and denominator (216) by 72.
72 ÷ 72/216 ÷ 72 = 1/3
Visual Representation
The diagram below illustrates Simplify 72/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/3 |
| Mixed Number Form | 1/3 |
| Decimal Form | 0.333333 |
| Percentage | 33.3333% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 72/216 in simplest form?
72/216 simplified to lowest terms is 1/3.
What is the GCD (GCF) of 72 and 216?
The Greatest Common Divisor (GCD) of 72 and 216 is 72.
What are equivalent fractions to 72/216?
Equivalent fractions to 72/216 include 2/6, 3/9, and 4/12.