Simplify 82/80 to Lowest Terms
82/80 simplified to its lowest terms is 41/40 (or 1.025 in decimal). See how to reduce 82/80 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/80 = 41/40
Simplified Fraction
41/40
Mixed Number
1 1/40
Decimal Value
1.025
Percentage
102.5%
Step-by-Step Solution: 82/80 = 41/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 80:
• Factors of 82:
1, 2, 41, 82• Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
GCD(82, 80) = 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 (80) by 2.
82 ÷ 2/80 ÷ 2 = 41/40
Step 3
Convert Improper Fraction to a Mixed Number
Because 41 is larger than 40, 41/40 can also be written as the mixed number 1 1/40.
41/40 = 11/40
Visual Representation
The diagram below illustrates Simplify 82/80 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/40 |
| Mixed Number Form | 1 1/40 |
| Decimal Form | 1.025 |
| Percentage | 102.5% |
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Frequently Asked Questions
What is 82/80 in simplest form?
82/80 simplified to lowest terms is 41/40.
What is the GCD (GCF) of 82 and 80?
The Greatest Common Divisor (GCD) of 82 and 80 is 2.
What are equivalent fractions to 82/80?
Equivalent fractions to 82/80 include 82/80, 123/120, and 164/160.