Simplify 82/60 to Lowest Terms
82/60 simplified to its lowest terms is 41/30 (or 1.366667 in decimal). See how to reduce 82/60 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/60 = 41/30
Simplified Fraction
41/30
Mixed Number
1 11/30
Decimal Value
1.366667
Percentage
136.6667%
Step-by-Step Solution: 82/60 = 41/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 60:
• Factors of 82:
1, 2, 41, 82• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD(82, 60) = 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 (60) by 2.
82 ÷ 2/60 ÷ 2 = 41/30
Step 3
Convert Improper Fraction to a Mixed Number
Because 41 is larger than 30, 41/30 can also be written as the mixed number 1 11/30.
41/30 = 111/30
Visual Representation
The diagram below illustrates Simplify 82/60 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/30 |
| Mixed Number Form | 1 11/30 |
| Decimal Form | 1.366667 |
| Percentage | 136.6667% |
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Frequently Asked Questions
What is 82/60 in simplest form?
82/60 simplified to lowest terms is 41/30.
What is the GCD (GCF) of 82 and 60?
The Greatest Common Divisor (GCD) of 82 and 60 is 2.
What are equivalent fractions to 82/60?
Equivalent fractions to 82/60 include 82/60, 123/90, and 164/120.