Simplify 76/218 to Lowest Terms
76/218 simplified to its lowest terms is 38/109 (or 0.348624 in decimal). See how to reduce 76/218 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/218 = 38/109
Simplified Fraction
38/109
Mixed Number
Proper (38/109)
Decimal Value
0.348624
Percentage
34.8624%
Step-by-Step Solution: 76/218 = 38/109
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 218:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 218:
1, 2, 109, 218
GCD(76, 218) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (76) and denominator (218) by 2.
76 ÷ 2/218 ÷ 2 = 38/109
Visual Representation
The diagram below illustrates Simplify 76/218 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/109 |
| Mixed Number Form | 38/109 |
| Decimal Form | 0.348624 |
| Percentage | 34.8624% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 76/218 in simplest form?
76/218 simplified to lowest terms is 38/109.
What is the GCD (GCF) of 76 and 218?
The Greatest Common Divisor (GCD) of 76 and 218 is 2.
What are equivalent fractions to 76/218?
Equivalent fractions to 76/218 include 76/218, 114/327, and 152/436.