What is 324/576 Simplified? (Reduce 324/576 to Lowest Terms: 9/16)

Exact Answer

324/576 = 9/16

Simplified Fraction

9/16

Mixed Number

Proper (9/16)

Decimal Value

0.5625

Percentage

56.25%

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Step-by-Step Solution: 324/576 = 9/16

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 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(324, 576) = 36

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 36. Divide both the numerator (324) and denominator (576) by 36.

324 ÷ 36/576 ÷ 36 = 9/16

Visual Representation

The diagram below illustrates Simplify 324/576 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/16`
Mixed Number Form	`9/16`
Decimal Form	`0.5625`
Percentage	`56.25%`

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Frequently Asked Questions

What is 324/576 in simplest form?

324/576 simplified to lowest terms is 9/16.

What is the GCD (GCF) of 324 and 576?

The Greatest Common Divisor (GCD) of 324 and 576 is 36.

What are equivalent fractions to 324/576?

Equivalent fractions to 324/576 include 18/32, 27/48, and 36/64.