What is 742/1600 Simplified? (Reduce 742/1600 to Lowest Terms: 371/800)

Exact Answer

742/1600 = 371/800

Simplified Fraction

371/800

Mixed Number

Proper (371/800)

Decimal Value

0.46375

Percentage

46.375%

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Step-by-Step Solution: 742/1600 = 371/800

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 1600: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160

GCD(742, 1600) = 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 (1600) by 2.

742 ÷ 2/1600 ÷ 2 = 371/800

Visual Representation

The diagram below illustrates Simplify 742/1600 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/800`
Mixed Number Form	`371/800`
Decimal Form	`0.46375`
Percentage	`46.375%`

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Frequently Asked Questions

What is 742/1600 in simplest form?

742/1600 simplified to lowest terms is 371/800.

What is the GCD (GCF) of 742 and 1600?

The Greatest Common Divisor (GCD) of 742 and 1600 is 2.

What are equivalent fractions to 742/1600?

Equivalent fractions to 742/1600 include 742/1600, 1113/2400, and 1484/3200.