What is 264/1296 Simplified? (Reduce 264/1296 to Lowest Terms: 11/54)

Exact Answer

264/1296 = 11/54

Simplified Fraction

11/54

Mixed Number

Proper (11/54)

Decimal Value

0.203704

Percentage

20.3704%

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Step-by-Step Solution: 264/1296 = 11/54

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 264: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
• Factors of 1296: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72

GCD(264, 1296) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (264) and denominator (1296) by 24.

264 ÷ 24/1296 ÷ 24 = 11/54

Visual Representation

The diagram below illustrates Simplify 264/1296 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/54`
Mixed Number Form	`11/54`
Decimal Form	`0.203704`
Percentage	`20.3704%`

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Frequently Asked Questions

What is 264/1296 in simplest form?

264/1296 simplified to lowest terms is 11/54.

What is the GCD (GCF) of 264 and 1296?

The Greatest Common Divisor (GCD) of 264 and 1296 is 24.

What are equivalent fractions to 264/1296?

Equivalent fractions to 264/1296 include 22/108, 33/162, and 44/216.