What is 384/624 Simplified? (Reduce 384/624 to Lowest Terms: 8/13)

Exact Answer

384/624 = 8/13

Simplified Fraction

8/13

Mixed Number

Proper (8/13)

Decimal Value

0.615385

Percentage

61.5385%

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Step-by-Step Solution: 384/624 = 8/13

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 624: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104

GCD(384, 624) = 48

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 48. Divide both the numerator (384) and denominator (624) by 48.

384 ÷ 48/624 ÷ 48 = 8/13

Visual Representation

The diagram below illustrates Simplify 384/624 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/13`
Mixed Number Form	`8/13`
Decimal Form	`0.615385`
Percentage	`61.5385%`

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Frequently Asked Questions

What is 384/624 in simplest form?

384/624 simplified to lowest terms is 8/13.

What is the GCD (GCF) of 384 and 624?

The Greatest Common Divisor (GCD) of 384 and 624 is 48.

What are equivalent fractions to 384/624?

Equivalent fractions to 384/624 include 16/26, 24/39, and 32/52.