Simplify 72/108 to Lowest Terms
72/108 simplified to its lowest terms is 2/3 (or 0.666667 in decimal). See how to reduce 72/108 using Greatest Common Divisor (GCD = 36).
Exact Answer
72/108 = 2/3
Simplified Fraction
2/3
Mixed Number
Proper (2/3)
Decimal Value
0.666667
Percentage
66.6667%
Step-by-Step Solution: 72/108 = 2/3
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 108:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 108:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD(72, 108) = 36
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 36. Divide both the numerator (72) and denominator (108) by 36.
72 ÷ 36/108 ÷ 36 = 2/3
Visual Representation
The diagram below illustrates Simplify 72/108 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/3 |
| Mixed Number Form | 2/3 |
| Decimal Form | 0.666667 |
| Percentage | 66.6667% |
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Frequently Asked Questions
What is 72/108 in simplest form?
72/108 simplified to lowest terms is 2/3.
What is the GCD (GCF) of 72 and 108?
The Greatest Common Divisor (GCD) of 72 and 108 is 36.
What are equivalent fractions to 72/108?
Equivalent fractions to 72/108 include 4/6, 6/9, and 8/12.