What is 288/390 Simplified? (Reduce 288/390 to Lowest Terms: 48/65)

Exact Answer

288/390 = 48/65

Simplified Fraction

48/65

Mixed Number

Proper (48/65)

Decimal Value

0.738462

Percentage

73.8462%

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Step-by-Step Solution: 288/390 = 48/65

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 390: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD(288, 390) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (288) and denominator (390) by 6.

288 ÷ 6/390 ÷ 6 = 48/65

Visual Representation

The diagram below illustrates Simplify 288/390 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`48/65`
Mixed Number Form	`48/65`
Decimal Form	`0.738462`
Percentage	`73.8462%`

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Frequently Asked Questions

What is 288/390 in simplest form?

288/390 simplified to lowest terms is 48/65.

What is the GCD (GCF) of 288 and 390?

The Greatest Common Divisor (GCD) of 288 and 390 is 6.

What are equivalent fractions to 288/390?

Equivalent fractions to 288/390 include 96/130, 144/195, and 192/260.