What is 742/1632 Simplified? (Reduce 742/1632 to Lowest Terms: 371/816)

Exact Answer

742/1632 = 371/816

Simplified Fraction

371/816

Mixed Number

Proper (371/816)

Decimal Value

0.454657

Percentage

45.4657%

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Step-by-Step Solution: 742/1632 = 371/816

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 1632: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96

GCD(742, 1632) = 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 (1632) by 2.

742 ÷ 2/1632 ÷ 2 = 371/816

Visual Representation

The diagram below illustrates Simplify 742/1632 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/816`
Mixed Number Form	`371/816`
Decimal Form	`0.454657`
Percentage	`45.4657%`

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Frequently Asked Questions

What is 742/1632 in simplest form?

742/1632 simplified to lowest terms is 371/816.

What is the GCD (GCF) of 742 and 1632?

The Greatest Common Divisor (GCD) of 742 and 1632 is 2.

What are equivalent fractions to 742/1632?

Equivalent fractions to 742/1632 include 742/1632, 1113/2448, and 1484/3264.