What is 600/1220 Simplified? (Reduce 600/1220 to Lowest Terms: 30/61)

Exact Answer

600/1220 = 30/61

Simplified Fraction

30/61

Mixed Number

Proper (30/61)

Decimal Value

0.491803

Percentage

49.1803%

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Step-by-Step Solution: 600/1220 = 30/61

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 600: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
• Factors of 1220: 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220

GCD(600, 1220) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (600) and denominator (1220) by 20.

600 ÷ 20/1220 ÷ 20 = 30/61

Visual Representation

The diagram below illustrates Simplify 600/1220 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`30/61`
Mixed Number Form	`30/61`
Decimal Form	`0.491803`
Percentage	`49.1803%`

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Frequently Asked Questions

What is 600/1220 in simplest form?

600/1220 simplified to lowest terms is 30/61.

What is the GCD (GCF) of 600 and 1220?

The Greatest Common Divisor (GCD) of 600 and 1220 is 20.

What are equivalent fractions to 600/1220?

Equivalent fractions to 600/1220 include 60/122, 90/183, and 120/244.