What is 580/1200 Simplified? (Reduce 580/1200 to Lowest Terms: 29/60)

Exact Answer

580/1200 = 29/60

Simplified Fraction

29/60

Mixed Number

Proper (29/60)

Decimal Value

0.483333

Percentage

48.3333%

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Step-by-Step Solution: 580/1200 = 29/60

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
• Factors of 1200: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40

GCD(580, 1200) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (580) and denominator (1200) by 20.

580 ÷ 20/1200 ÷ 20 = 29/60

Visual Representation

The diagram below illustrates Simplify 580/1200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/60`
Mixed Number Form	`29/60`
Decimal Form	`0.483333`
Percentage	`48.3333%`

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Frequently Asked Questions

What is 580/1200 in simplest form?

580/1200 simplified to lowest terms is 29/60.

What is the GCD (GCF) of 580 and 1200?

The Greatest Common Divisor (GCD) of 580 and 1200 is 20.

What are equivalent fractions to 580/1200?

Equivalent fractions to 580/1200 include 58/120, 87/180, and 116/240.