What is 258/480 Simplified? (Reduce 258/480 to Lowest Terms: 43/80)

Exact Answer

258/480 = 43/80

Simplified Fraction

43/80

Mixed Number

Proper (43/80)

Decimal Value

0.5375

Percentage

53.75%

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Step-by-Step Solution: 258/480 = 43/80

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 258: 1, 2, 3, 6, 43, 86, 129, 258
• Factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40

GCD(258, 480) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (258) and denominator (480) by 6.

258 ÷ 6/480 ÷ 6 = 43/80

Visual Representation

The diagram below illustrates Simplify 258/480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`43/80`
Mixed Number Form	`43/80`
Decimal Form	`0.5375`
Percentage	`53.75%`

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Frequently Asked Questions

What is 258/480 in simplest form?

258/480 simplified to lowest terms is 43/80.

What is the GCD (GCF) of 258 and 480?

The Greatest Common Divisor (GCD) of 258 and 480 is 6.

What are equivalent fractions to 258/480?

Equivalent fractions to 258/480 include 86/160, 129/240, and 172/320.