Simplify 82/180 to Lowest Terms
82/180 simplified to its lowest terms is 41/90 (or 0.455556 in decimal). See how to reduce 82/180 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/180 = 41/90
Simplified Fraction
41/90
Mixed Number
Proper (41/90)
Decimal Value
0.455556
Percentage
45.5556%
Step-by-Step Solution: 82/180 = 41/90
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 180:
• Factors of 82:
1, 2, 41, 82• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
GCD(82, 180) = 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 (180) by 2.
82 ÷ 2/180 ÷ 2 = 41/90
Visual Representation
The diagram below illustrates Simplify 82/180 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/90 |
| Mixed Number Form | 41/90 |
| Decimal Form | 0.455556 |
| Percentage | 45.5556% |
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Frequently Asked Questions
What is 82/180 in simplest form?
82/180 simplified to lowest terms is 41/90.
What is the GCD (GCF) of 82 and 180?
The Greatest Common Divisor (GCD) of 82 and 180 is 2.
What are equivalent fractions to 82/180?
Equivalent fractions to 82/180 include 82/180, 123/270, and 164/360.