What is 742/900 Simplified? (Reduce 742/900 to Lowest Terms: 371/450)

Exact Answer

742/900 = 371/450

Simplified Fraction

371/450

Mixed Number

Proper (371/450)

Decimal Value

0.824444

Percentage

82.4444%

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Step-by-Step Solution: 742/900 = 371/450

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 900: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45

GCD(742, 900) = 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 (900) by 2.

742 ÷ 2/900 ÷ 2 = 371/450

Visual Representation

The diagram below illustrates Simplify 742/900 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/450`
Mixed Number Form	`371/450`
Decimal Form	`0.824444`
Percentage	`82.4444%`

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Frequently Asked Questions

What is 742/900 in simplest form?

742/900 simplified to lowest terms is 371/450.

What is the GCD (GCF) of 742 and 900?

The Greatest Common Divisor (GCD) of 742 and 900 is 2.

What are equivalent fractions to 742/900?

Equivalent fractions to 742/900 include 742/900, 1113/1350, and 1484/1800.