What is 742/1500 Simplified? (Reduce 742/1500 to Lowest Terms: 371/750)

Exact Answer

742/1500 = 371/750

Simplified Fraction

371/750

Mixed Number

Proper (371/750)

Decimal Value

0.494667

Percentage

49.4667%

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Step-by-Step Solution: 742/1500 = 371/750

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 1500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100

GCD(742, 1500) = 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 (1500) by 2.

742 ÷ 2/1500 ÷ 2 = 371/750

Visual Representation

The diagram below illustrates Simplify 742/1500 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/750`
Mixed Number Form	`371/750`
Decimal Form	`0.494667`
Percentage	`49.4667%`

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Frequently Asked Questions

What is 742/1500 in simplest form?

742/1500 simplified to lowest terms is 371/750.

What is the GCD (GCF) of 742 and 1500?

The Greatest Common Divisor (GCD) of 742 and 1500 is 2.

What are equivalent fractions to 742/1500?

Equivalent fractions to 742/1500 include 742/1500, 1113/2250, and 1484/3000.