Simplify 82/288 to Lowest Terms
82/288 simplified to its lowest terms is 41/144 (or 0.284722 in decimal). See how to reduce 82/288 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/288 = 41/144
Simplified Fraction
41/144
Mixed Number
Proper (41/144)
Decimal Value
0.284722
Percentage
28.4722%
Step-by-Step Solution: 82/288 = 41/144
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 288:
• Factors of 82:
1, 2, 41, 82• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(82, 288) = 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 (288) by 2.
82 ÷ 2/288 ÷ 2 = 41/144
Visual Representation
The diagram below illustrates Simplify 82/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/144 |
| Mixed Number Form | 41/144 |
| Decimal Form | 0.284722 |
| Percentage | 28.4722% |
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Frequently Asked Questions
What is 82/288 in simplest form?
82/288 simplified to lowest terms is 41/144.
What is the GCD (GCF) of 82 and 288?
The Greatest Common Divisor (GCD) of 82 and 288 is 2.
What are equivalent fractions to 82/288?
Equivalent fractions to 82/288 include 82/288, 123/432, and 164/576.