What is 288/462 Simplified? (Reduce 288/462 to Lowest Terms: 48/77)

Exact Answer

288/462 = 48/77

Simplified Fraction

48/77

Mixed Number

Proper (48/77)

Decimal Value

0.623377

Percentage

62.3377%

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Step-by-Step Solution: 288/462 = 48/77

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 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD(288, 462) = 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 (462) by 6.

288 ÷ 6/462 ÷ 6 = 48/77

Visual Representation

The diagram below illustrates Simplify 288/462 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`48/77`
Mixed Number Form	`48/77`
Decimal Form	`0.623377`
Percentage	`62.3377%`

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Frequently Asked Questions

What is 288/462 in simplest form?

288/462 simplified to lowest terms is 48/77.

What is the GCD (GCF) of 288 and 462?

The Greatest Common Divisor (GCD) of 288 and 462 is 6.

What are equivalent fractions to 288/462?

Equivalent fractions to 288/462 include 96/154, 144/231, and 192/308.