What is 288/468 Simplified? (Reduce 288/468 to Lowest Terms: 8/13)

Exact Answer

288/468 = 8/13

Simplified Fraction

8/13

Mixed Number

Proper (8/13)

Decimal Value

0.615385

Percentage

61.5385%

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Step-by-Step Solution: 288/468 = 8/13

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 468: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156

GCD(288, 468) = 36

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 36. Divide both the numerator (288) and denominator (468) by 36.

288 ÷ 36/468 ÷ 36 = 8/13

Visual Representation

The diagram below illustrates Simplify 288/468 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/13`
Mixed Number Form	`8/13`
Decimal Form	`0.615385`
Percentage	`61.5385%`

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Frequently Asked Questions

What is 288/468 in simplest form?

288/468 simplified to lowest terms is 8/13.

What is the GCD (GCF) of 288 and 468?

The Greatest Common Divisor (GCD) of 288 and 468 is 36.

What are equivalent fractions to 288/468?

Equivalent fractions to 288/468 include 16/26, 24/39, and 32/52.