What is 288/540 Simplified? (Reduce 288/540 to Lowest Terms: 8/15)

Exact Answer

288/540 = 8/15

Simplified Fraction

8/15

Mixed Number

Proper (8/15)

Decimal Value

0.533333

Percentage

53.3333%

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Step-by-Step Solution: 288/540 = 8/15

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 540: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45

GCD(288, 540) = 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 (540) by 36.

288 ÷ 36/540 ÷ 36 = 8/15

Visual Representation

The diagram below illustrates Simplify 288/540 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/15`
Mixed Number Form	`8/15`
Decimal Form	`0.533333`
Percentage	`53.3333%`

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Frequently Asked Questions

What is 288/540 in simplest form?

288/540 simplified to lowest terms is 8/15.

What is the GCD (GCF) of 288 and 540?

The Greatest Common Divisor (GCD) of 288 and 540 is 36.

What are equivalent fractions to 288/540?

Equivalent fractions to 288/540 include 16/30, 24/45, and 32/60.