Simplify 60/82 to Lowest Terms
60/82 simplified to its lowest terms is 30/41 (or 0.731707 in decimal). See how to reduce 60/82 using Greatest Common Divisor (GCD = 2).
Exact Answer
60/82 = 30/41
Simplified Fraction
30/41
Mixed Number
Proper (30/41)
Decimal Value
0.731707
Percentage
73.1707%
Step-by-Step Solution: 60/82 = 30/41
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 82:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 82:
1, 2, 41, 82
GCD(60, 82) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (60) and denominator (82) by 2.
60 ÷ 2/82 ÷ 2 = 30/41
Visual Representation
The diagram below illustrates Simplify 60/82 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 30/41 |
| Mixed Number Form | 30/41 |
| Decimal Form | 0.731707 |
| Percentage | 73.1707% |
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Frequently Asked Questions
What is 60/82 in simplest form?
60/82 simplified to lowest terms is 30/41.
What is the GCD (GCF) of 60 and 82?
The Greatest Common Divisor (GCD) of 60 and 82 is 2.
What are equivalent fractions to 60/82?
Equivalent fractions to 60/82 include 60/82, 90/123, and 120/164.