Simplify 82/240 to Lowest Terms
82/240 simplified to its lowest terms is 41/120 (or 0.341667 in decimal). See how to reduce 82/240 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/240 = 41/120
Simplified Fraction
41/120
Mixed Number
Proper (41/120)
Decimal Value
0.341667
Percentage
34.1667%
Step-by-Step Solution: 82/240 = 41/120
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 240:
• Factors of 82:
1, 2, 41, 82• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(82, 240) = 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 (240) by 2.
82 ÷ 2/240 ÷ 2 = 41/120
Visual Representation
The diagram below illustrates Simplify 82/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/120 |
| Mixed Number Form | 41/120 |
| Decimal Form | 0.341667 |
| Percentage | 34.1667% |
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Frequently Asked Questions
What is 82/240 in simplest form?
82/240 simplified to lowest terms is 41/120.
What is the GCD (GCF) of 82 and 240?
The Greatest Common Divisor (GCD) of 82 and 240 is 2.
What are equivalent fractions to 82/240?
Equivalent fractions to 82/240 include 82/240, 123/360, and 164/480.