Simplify 82/300 to Lowest Terms
82/300 simplified to its lowest terms is 41/150 (or 0.273333 in decimal). See how to reduce 82/300 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/300 = 41/150
Simplified Fraction
41/150
Mixed Number
Proper (41/150)
Decimal Value
0.273333
Percentage
27.3333%
Step-by-Step Solution: 82/300 = 41/150
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 300:
• Factors of 82:
1, 2, 41, 82• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(82, 300) = 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 (300) by 2.
82 ÷ 2/300 ÷ 2 = 41/150
Visual Representation
The diagram below illustrates Simplify 82/300 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/150 |
| Mixed Number Form | 41/150 |
| Decimal Form | 0.273333 |
| Percentage | 27.3333% |
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Frequently Asked Questions
What is 82/300 in simplest form?
82/300 simplified to lowest terms is 41/150.
What is the GCD (GCF) of 82 and 300?
The Greatest Common Divisor (GCD) of 82 and 300 is 2.
What are equivalent fractions to 82/300?
Equivalent fractions to 82/300 include 82/300, 123/450, and 164/600.