What is 204/576 Simplified? (Reduce 204/576 to Lowest Terms: 17/48)

Exact Answer

204/576 = 17/48

Simplified Fraction

17/48

Mixed Number

Proper (17/48)

Decimal Value

0.354167

Percentage

35.4167%

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Step-by-Step Solution: 204/576 = 17/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
• Factors of 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(204, 576) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (204) and denominator (576) by 12.

204 ÷ 12/576 ÷ 12 = 17/48

Visual Representation

The diagram below illustrates Simplify 204/576 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/48`
Mixed Number Form	`17/48`
Decimal Form	`0.354167`
Percentage	`35.4167%`

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Frequently Asked Questions

What is 204/576 in simplest form?

204/576 simplified to lowest terms is 17/48.

What is the GCD (GCF) of 204 and 576?

The Greatest Common Divisor (GCD) of 204 and 576 is 12.

What are equivalent fractions to 204/576?

Equivalent fractions to 204/576 include 34/96, 51/144, and 68/192.