What is 82/108 Simplified? (Reduce 82/108 to Lowest Terms: 41/54)

Exact Answer

82/108 = 41/54

Simplified Fraction

41/54

Mixed Number

Proper (41/54)

Decimal Value

0.759259

Percentage

75.9259%

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Step-by-Step Solution: 82/108 = 41/54

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 82: 1, 2, 41, 82
• Factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD(82, 108) = 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 (108) by 2.

82 ÷ 2/108 ÷ 2 = 41/54

Visual Representation

The diagram below illustrates Simplify 82/108 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`41/54`
Mixed Number Form	`41/54`
Decimal Form	`0.759259`
Percentage	`75.9259%`

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Frequently Asked Questions

What is 82/108 in simplest form?

82/108 simplified to lowest terms is 41/54.

What is the GCD (GCF) of 82 and 108?

The Greatest Common Divisor (GCD) of 82 and 108 is 2.

What are equivalent fractions to 82/108?

Equivalent fractions to 82/108 include 82/108, 123/162, and 164/216.