What is 96/208 Simplified? (Reduce 96/208 to Lowest Terms: 6/13)

Exact Answer

96/208 = 6/13

Simplified Fraction

6/13

Mixed Number

Proper (6/13)

Decimal Value

0.461538

Percentage

46.1538%

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Step-by-Step Solution: 96/208 = 6/13

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 208: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD(96, 208) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (96) and denominator (208) by 16.

96 ÷ 16/208 ÷ 16 = 6/13

Visual Representation

The diagram below illustrates Simplify 96/208 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/13`
Mixed Number Form	`6/13`
Decimal Form	`0.461538`
Percentage	`46.1538%`

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Frequently Asked Questions

What is 96/208 in simplest form?

96/208 simplified to lowest terms is 6/13.

What is the GCD (GCF) of 96 and 208?

The Greatest Common Divisor (GCD) of 96 and 208 is 16.

What are equivalent fractions to 96/208?

Equivalent fractions to 96/208 include 12/26, 18/39, and 24/52.