What is 384/580 Simplified? (Reduce 384/580 to Lowest Terms: 96/145)

Exact Answer

384/580 = 96/145

Simplified Fraction

96/145

Mixed Number

Proper (96/145)

Decimal Value

0.662069

Percentage

66.2069%

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Step-by-Step Solution: 384/580 = 96/145

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
• Factors of 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD(384, 580) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (384) and denominator (580) by 4.

384 ÷ 4/580 ÷ 4 = 96/145

Visual Representation

The diagram below illustrates Simplify 384/580 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`96/145`
Mixed Number Form	`96/145`
Decimal Form	`0.662069`
Percentage	`66.2069%`

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Frequently Asked Questions

What is 384/580 in simplest form?

384/580 simplified to lowest terms is 96/145.

What is the GCD (GCF) of 384 and 580?

The Greatest Common Divisor (GCD) of 384 and 580 is 4.

What are equivalent fractions to 384/580?

Equivalent fractions to 384/580 include 192/290, 288/435, and 384/580.