What is 324/408 Simplified? (Reduce 324/408 to Lowest Terms: 27/34)

Exact Answer

324/408 = 27/34

Simplified Fraction

27/34

Mixed Number

Proper (27/34)

Decimal Value

0.794118

Percentage

79.4118%

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Step-by-Step Solution: 324/408 = 27/34

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
• Factors of 408: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD(324, 408) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (324) and denominator (408) by 12.

324 ÷ 12/408 ÷ 12 = 27/34

Visual Representation

The diagram below illustrates Simplify 324/408 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`27/34`
Mixed Number Form	`27/34`
Decimal Form	`0.794118`
Percentage	`79.4118%`

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Frequently Asked Questions

What is 324/408 in simplest form?

324/408 simplified to lowest terms is 27/34.

What is the GCD (GCF) of 324 and 408?

The Greatest Common Divisor (GCD) of 324 and 408 is 12.

What are equivalent fractions to 324/408?

Equivalent fractions to 324/408 include 54/68, 81/102, and 108/136.