What is 742/1608 Simplified? (Reduce 742/1608 to Lowest Terms: 371/804)

Exact Answer

742/1608 = 371/804

Simplified Fraction

371/804

Mixed Number

Proper (371/804)

Decimal Value

0.461443

Percentage

46.1443%

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Step-by-Step Solution: 742/1608 = 371/804

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742
• Factors of 1608: 1, 2, 3, 4, 6, 8, 12, 24, 67, 134, 201, 268, 402, 536, 804, 1608

GCD(742, 1608) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (742) and denominator (1608) by 2.

742 ÷ 2/1608 ÷ 2 = 371/804

Visual Representation

The diagram below illustrates Simplify 742/1608 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/804`
Mixed Number Form	`371/804`
Decimal Form	`0.461443`
Percentage	`46.1443%`

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Frequently Asked Questions

What is 742/1608 in simplest form?

742/1608 simplified to lowest terms is 371/804.

What is the GCD (GCF) of 742 and 1608?

The Greatest Common Divisor (GCD) of 742 and 1608 is 2.

What are equivalent fractions to 742/1608?

Equivalent fractions to 742/1608 include 742/1608, 1113/2412, and 1484/3216.