What is 580/1216 Simplified? (Reduce 580/1216 to Lowest Terms: 145/304)

Exact Answer

580/1216 = 145/304

Simplified Fraction

145/304

Mixed Number

Proper (145/304)

Decimal Value

0.476974

Percentage

47.6974%

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Step-by-Step Solution: 580/1216 = 145/304

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 1216: 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216

GCD(580, 1216) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (580) and denominator (1216) by 4.

580 ÷ 4/1216 ÷ 4 = 145/304

Visual Representation

The diagram below illustrates Simplify 580/1216 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`145/304`
Mixed Number Form	`145/304`
Decimal Form	`0.476974`
Percentage	`47.6974%`

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Frequently Asked Questions

What is 580/1216 in simplest form?

580/1216 simplified to lowest terms is 145/304.

What is the GCD (GCF) of 580 and 1216?

The Greatest Common Divisor (GCD) of 580 and 1216 is 4.

What are equivalent fractions to 580/1216?

Equivalent fractions to 580/1216 include 290/608, 435/912, and 580/1216.