What is 384/462 Simplified? (Reduce 384/462 to Lowest Terms: 64/77)

Exact Answer

384/462 = 64/77

Simplified Fraction

64/77

Mixed Number

Proper (64/77)

Decimal Value

0.831169

Percentage

83.1169%

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Step-by-Step Solution: 384/462 = 64/77

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
• Factors of 462: 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD(384, 462) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (384) and denominator (462) by 6.

384 ÷ 6/462 ÷ 6 = 64/77

Visual Representation

The diagram below illustrates Simplify 384/462 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`64/77`
Mixed Number Form	`64/77`
Decimal Form	`0.831169`
Percentage	`83.1169%`

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Frequently Asked Questions

What is 384/462 in simplest form?

384/462 simplified to lowest terms is 64/77.

What is the GCD (GCF) of 384 and 462?

The Greatest Common Divisor (GCD) of 384 and 462 is 6.

What are equivalent fractions to 384/462?

Equivalent fractions to 384/462 include 128/154, 192/231, and 256/308.