What is 200/450 Simplified? (Reduce 200/450 to Lowest Terms: 4/9)

Exact Answer

200/450 = 4/9

Simplified Fraction

4/9

Mixed Number

Proper (4/9)

Decimal Value

0.444444

Percentage

44.4444%

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Step-by-Step Solution: 200/450 = 4/9

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
• Factors of 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150

GCD(200, 450) = 50

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 50. Divide both the numerator (200) and denominator (450) by 50.

200 ÷ 50/450 ÷ 50 = 4/9

Visual Representation

The diagram below illustrates Simplify 200/450 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/9`
Mixed Number Form	`4/9`
Decimal Form	`0.444444`
Percentage	`44.4444%`

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Frequently Asked Questions

What is 200/450 in simplest form?

200/450 simplified to lowest terms is 4/9.

What is the GCD (GCF) of 200 and 450?

The Greatest Common Divisor (GCD) of 200 and 450 is 50.

What are equivalent fractions to 200/450?

Equivalent fractions to 200/450 include 8/18, 12/27, and 16/36.