What is 204/842 Simplified? (Reduce 204/842 to Lowest Terms: 102/421)

Exact Answer

204/842 = 102/421

Simplified Fraction

102/421

Mixed Number

Proper (102/421)

Decimal Value

0.24228

Percentage

24.228%

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Step-by-Step Solution: 204/842 = 102/421

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 842: 1, 2, 421, 842

GCD(204, 842) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (204) and denominator (842) by 2.

204 ÷ 2/842 ÷ 2 = 102/421

Visual Representation

The diagram below illustrates Simplify 204/842 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`102/421`
Mixed Number Form	`102/421`
Decimal Form	`0.24228`
Percentage	`24.228%`

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Frequently Asked Questions

What is 204/842 in simplest form?

204/842 simplified to lowest terms is 102/421.

What is the GCD (GCF) of 204 and 842?

The Greatest Common Divisor (GCD) of 204 and 842 is 2.

What are equivalent fractions to 204/842?

Equivalent fractions to 204/842 include 204/842, 306/1263, and 408/1684.