What is 264/564 Simplified? (Reduce 264/564 to Lowest Terms: 22/47)

Exact Answer

264/564 = 22/47

Simplified Fraction

22/47

Mixed Number

Proper (22/47)

Decimal Value

0.468085

Percentage

46.8085%

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Step-by-Step Solution: 264/564 = 22/47

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 564: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD(264, 564) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (264) and denominator (564) by 12.

264 ÷ 12/564 ÷ 12 = 22/47

Visual Representation

The diagram below illustrates Simplify 264/564 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`22/47`
Mixed Number Form	`22/47`
Decimal Form	`0.468085`
Percentage	`46.8085%`

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Frequently Asked Questions

What is 264/564 in simplest form?

264/564 simplified to lowest terms is 22/47.

What is the GCD (GCF) of 264 and 564?

The Greatest Common Divisor (GCD) of 264 and 564 is 12.

What are equivalent fractions to 264/564?

Equivalent fractions to 264/564 include 44/94, 66/141, and 88/188.