What is 384/438 Simplified? (Reduce 384/438 to Lowest Terms: 64/73)

Exact Answer

384/438 = 64/73

Simplified Fraction

64/73

Mixed Number

Proper (64/73)

Decimal Value

0.876712

Percentage

87.6712%

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Step-by-Step Solution: 384/438 = 64/73

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 438: 1, 2, 3, 6, 73, 146, 219, 438

GCD(384, 438) = 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 (438) by 6.

384 ÷ 6/438 ÷ 6 = 64/73

Visual Representation

The diagram below illustrates Simplify 384/438 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`64/73`
Mixed Number Form	`64/73`
Decimal Form	`0.876712`
Percentage	`87.6712%`

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Frequently Asked Questions

What is 384/438 in simplest form?

384/438 simplified to lowest terms is 64/73.

What is the GCD (GCF) of 384 and 438?

The Greatest Common Divisor (GCD) of 384 and 438 is 6.

What are equivalent fractions to 384/438?

Equivalent fractions to 384/438 include 128/146, 192/219, and 256/292.