What is 204/330 Simplified? (Reduce 204/330 to Lowest Terms: 34/55)

Exact Answer

204/330 = 34/55

Simplified Fraction

34/55

Mixed Number

Proper (34/55)

Decimal Value

0.618182

Percentage

61.8182%

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Step-by-Step Solution: 204/330 = 34/55

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 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD(204, 330) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (204) and denominator (330) by 6.

204 ÷ 6/330 ÷ 6 = 34/55

Visual Representation

The diagram below illustrates Simplify 204/330 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`34/55`
Mixed Number Form	`34/55`
Decimal Form	`0.618182`
Percentage	`61.8182%`

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Frequently Asked Questions

What is 204/330 in simplest form?

204/330 simplified to lowest terms is 34/55.

What is the GCD (GCF) of 204 and 330?

The Greatest Common Divisor (GCD) of 204 and 330 is 6.

What are equivalent fractions to 204/330?

Equivalent fractions to 204/330 include 68/110, 102/165, and 136/220.