What is 200/422 Simplified? (Reduce 200/422 to Lowest Terms: 100/211)

Exact Answer

200/422 = 100/211

Simplified Fraction

100/211

Mixed Number

Proper (100/211)

Decimal Value

0.473934

Percentage

47.3934%

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Step-by-Step Solution: 200/422 = 100/211

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 422: 1, 2, 211, 422

GCD(200, 422) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (200) and denominator (422) by 2.

200 ÷ 2/422 ÷ 2 = 100/211

Visual Representation

The diagram below illustrates Simplify 200/422 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`100/211`
Mixed Number Form	`100/211`
Decimal Form	`0.473934`
Percentage	`47.3934%`

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Frequently Asked Questions

What is 200/422 in simplest form?

200/422 simplified to lowest terms is 100/211.

What is the GCD (GCF) of 200 and 422?

The Greatest Common Divisor (GCD) of 200 and 422 is 2.

What are equivalent fractions to 200/422?

Equivalent fractions to 200/422 include 200/422, 300/633, and 400/844.