Simplify 72/218 to Lowest Terms
72/218 simplified to its lowest terms is 36/109 (or 0.330275 in decimal). See how to reduce 72/218 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/218 = 36/109
Simplified Fraction
36/109
Mixed Number
Proper (36/109)
Decimal Value
0.330275
Percentage
33.0275%
Step-by-Step Solution: 72/218 = 36/109
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 218:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 218:
1, 2, 109, 218
GCD(72, 218) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (218) by 2.
72 ÷ 2/218 ÷ 2 = 36/109
Visual Representation
The diagram below illustrates Simplify 72/218 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/109 |
| Mixed Number Form | 36/109 |
| Decimal Form | 0.330275 |
| Percentage | 33.0275% |
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Frequently Asked Questions
What is 72/218 in simplest form?
72/218 simplified to lowest terms is 36/109.
What is the GCD (GCF) of 72 and 218?
The Greatest Common Divisor (GCD) of 72 and 218 is 2.
What are equivalent fractions to 72/218?
Equivalent fractions to 72/218 include 72/218, 108/327, and 144/436.