What is 204/450 Simplified? (Reduce 204/450 to Lowest Terms: 34/75)

Exact Answer

204/450 = 34/75

Simplified Fraction

34/75

Mixed Number

Proper (34/75)

Decimal Value

0.453333

Percentage

45.3333%

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Step-by-Step Solution: 204/450 = 34/75

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 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150

GCD(204, 450) = 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 (450) by 6.

204 ÷ 6/450 ÷ 6 = 34/75

Visual Representation

The diagram below illustrates Simplify 204/450 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`34/75`
Mixed Number Form	`34/75`
Decimal Form	`0.453333`
Percentage	`45.3333%`

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Frequently Asked Questions

What is 204/450 in simplest form?

204/450 simplified to lowest terms is 34/75.

What is the GCD (GCF) of 204 and 450?

The Greatest Common Divisor (GCD) of 204 and 450 is 6.

What are equivalent fractions to 204/450?

Equivalent fractions to 204/450 include 68/150, 102/225, and 136/300.