What is 288/460 Simplified? (Reduce 288/460 to Lowest Terms: 72/115)

Exact Answer

288/460 = 72/115

Simplified Fraction

72/115

Mixed Number

Proper (72/115)

Decimal Value

0.626087

Percentage

62.6087%

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Step-by-Step Solution: 288/460 = 72/115

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
• Factors of 460: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD(288, 460) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (288) and denominator (460) by 4.

288 ÷ 4/460 ÷ 4 = 72/115

Visual Representation

The diagram below illustrates Simplify 288/460 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`72/115`
Mixed Number Form	`72/115`
Decimal Form	`0.626087`
Percentage	`62.6087%`

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Frequently Asked Questions

What is 288/460 in simplest form?

288/460 simplified to lowest terms is 72/115.

What is the GCD (GCF) of 288 and 460?

The Greatest Common Divisor (GCD) of 288 and 460 is 4.

What are equivalent fractions to 288/460?

Equivalent fractions to 288/460 include 144/230, 216/345, and 288/460.