What is 400/842 Simplified? (Reduce 400/842 to Lowest Terms: 200/421)

Exact Answer

400/842 = 200/421

Simplified Fraction

200/421

Mixed Number

Proper (200/421)

Decimal Value

0.475059

Percentage

47.5059%

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Step-by-Step Solution: 400/842 = 200/421

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
• Factors of 842: 1, 2, 421, 842

GCD(400, 842) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (400) and denominator (842) by 2.

400 ÷ 2/842 ÷ 2 = 200/421

Visual Representation

The diagram below illustrates Simplify 400/842 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`200/421`
Mixed Number Form	`200/421`
Decimal Form	`0.475059`
Percentage	`47.5059%`

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Frequently Asked Questions

What is 400/842 in simplest form?

400/842 simplified to lowest terms is 200/421.

What is the GCD (GCF) of 400 and 842?

The Greatest Common Divisor (GCD) of 400 and 842 is 2.

What are equivalent fractions to 400/842?

Equivalent fractions to 400/842 include 400/842, 600/1263, and 800/1684.