What is 426/1608 Simplified? (Reduce 426/1608 to Lowest Terms: 71/268)

Exact Answer

426/1608 = 71/268

Simplified Fraction

71/268

Mixed Number

Proper (71/268)

Decimal Value

0.264925

Percentage

26.4925%

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Step-by-Step Solution: 426/1608 = 71/268

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 426: 1, 2, 3, 6, 71, 142, 213, 426
• Factors of 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

GCD(426, 1608) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (426) and denominator (1608) by 6.

426 ÷ 6/1608 ÷ 6 = 71/268

Visual Representation

The diagram below illustrates Simplify 426/1608 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`71/268`
Mixed Number Form	`71/268`
Decimal Form	`0.264925`
Percentage	`26.4925%`

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Frequently Asked Questions

What is 426/1608 in simplest form?

426/1608 simplified to lowest terms is 71/268.

What is the GCD (GCF) of 426 and 1608?

The Greatest Common Divisor (GCD) of 426 and 1608 is 6.

What are equivalent fractions to 426/1608?

Equivalent fractions to 426/1608 include 142/536, 213/804, and 284/1072.