Simplify 82/164 to Lowest Terms
82/164 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 82/164 using Greatest Common Divisor (GCD = 82).
Exact Answer
82/164 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 82/164 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 164:
• Factors of 82:
1, 2, 41, 82• Factors of 164:
1, 2, 4, 41, 82, 164
GCD(82, 164) = 82
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 82. Divide both the numerator (82) and denominator (164) by 82.
82 ÷ 82/164 ÷ 82 = 1/2
Visual Representation
The diagram below illustrates Simplify 82/164 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 82/164 in simplest form?
82/164 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 82 and 164?
The Greatest Common Divisor (GCD) of 82 and 164 is 82.
What are equivalent fractions to 82/164?
Equivalent fractions to 82/164 include 2/4, 3/6, and 4/8.