Simplify 82/204 to Lowest Terms
82/204 simplified to its lowest terms is 41/102 (or 0.401961 in decimal). See how to reduce 82/204 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/204 = 41/102
Simplified Fraction
41/102
Mixed Number
Proper (41/102)
Decimal Value
0.401961
Percentage
40.1961%
Step-by-Step Solution: 82/204 = 41/102
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 204:
• Factors of 82:
1, 2, 41, 82• Factors of 204:
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD(82, 204) = 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 (204) by 2.
82 ÷ 2/204 ÷ 2 = 41/102
Visual Representation
The diagram below illustrates Simplify 82/204 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/102 |
| Mixed Number Form | 41/102 |
| Decimal Form | 0.401961 |
| Percentage | 40.1961% |
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Frequently Asked Questions
What is 82/204 in simplest form?
82/204 simplified to lowest terms is 41/102.
What is the GCD (GCF) of 82 and 204?
The Greatest Common Divisor (GCD) of 82 and 204 is 2.
What are equivalent fractions to 82/204?
Equivalent fractions to 82/204 include 82/204, 123/306, and 164/408.