Simplify 60/218 to Lowest Terms
60/218 simplified to its lowest terms is 30/109 (or 0.275229 in decimal). See how to reduce 60/218 using Greatest Common Divisor (GCD = 2).
Exact Answer
60/218 = 30/109
Simplified Fraction
30/109
Mixed Number
Proper (30/109)
Decimal Value
0.275229
Percentage
27.5229%
Step-by-Step Solution: 60/218 = 30/109
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 218:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 218:
1, 2, 109, 218
GCD(60, 218) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (60) and denominator (218) by 2.
60 ÷ 2/218 ÷ 2 = 30/109
Visual Representation
The diagram below illustrates Simplify 60/218 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 30/109 |
| Mixed Number Form | 30/109 |
| Decimal Form | 0.275229 |
| Percentage | 27.5229% |
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Frequently Asked Questions
What is 60/218 in simplest form?
60/218 simplified to lowest terms is 30/109.
What is the GCD (GCF) of 60 and 218?
The Greatest Common Divisor (GCD) of 60 and 218 is 2.
What are equivalent fractions to 60/218?
Equivalent fractions to 60/218 include 60/218, 90/327, and 120/436.