Simplify 82/208 to Lowest Terms
82/208 simplified to its lowest terms is 41/104 (or 0.394231 in decimal). See how to reduce 82/208 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/208 = 41/104
Simplified Fraction
41/104
Mixed Number
Proper (41/104)
Decimal Value
0.394231
Percentage
39.4231%
Step-by-Step Solution: 82/208 = 41/104
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 208:
• Factors of 82:
1, 2, 41, 82• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(82, 208) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (82) and denominator (208) by 2.
82 ÷ 2/208 ÷ 2 = 41/104
Visual Representation
The diagram below illustrates Simplify 82/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/104 |
| Mixed Number Form | 41/104 |
| Decimal Form | 0.394231 |
| Percentage | 39.4231% |
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Frequently Asked Questions
What is 82/208 in simplest form?
82/208 simplified to lowest terms is 41/104.
What is the GCD (GCF) of 82 and 208?
The Greatest Common Divisor (GCD) of 82 and 208 is 2.
What are equivalent fractions to 82/208?
Equivalent fractions to 82/208 include 82/208, 123/312, and 164/416.