What is 264/576 Simplified? (Reduce 264/576 to Lowest Terms: 11/24)

Exact Answer

264/576 = 11/24

Simplified Fraction

11/24

Mixed Number

Proper (11/24)

Decimal Value

0.458333

Percentage

45.8333%

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Step-by-Step Solution: 264/576 = 11/24

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 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(264, 576) = 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 (576) by 24.

264 ÷ 24/576 ÷ 24 = 11/24

Visual Representation

The diagram below illustrates Simplify 264/576 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`11/24`
Mixed Number Form	`11/24`
Decimal Form	`0.458333`
Percentage	`45.8333%`

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Frequently Asked Questions

What is 264/576 in simplest form?

264/576 simplified to lowest terms is 11/24.

What is the GCD (GCF) of 264 and 576?

The Greatest Common Divisor (GCD) of 264 and 576 is 24.

What are equivalent fractions to 264/576?

Equivalent fractions to 264/576 include 22/48, 33/72, and 44/96.