What is 72/324 Simplified? (Reduce 72/324 to Lowest Terms: 2/9)

Exact Answer

72/324 = 2/9

Simplified Fraction

2/9

Mixed Number

Proper (2/9)

Decimal Value

0.222222

Percentage

22.2222%

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Step-by-Step Solution: 72/324 = 2/9

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD(72, 324) = 36

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 36. Divide both the numerator (72) and denominator (324) by 36.

72 ÷ 36/324 ÷ 36 = 2/9

Visual Representation

The diagram below illustrates Simplify 72/324 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`2/9`
Mixed Number Form	`2/9`
Decimal Form	`0.222222`
Percentage	`22.2222%`

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Frequently Asked Questions

What is 72/324 in simplest form?

72/324 simplified to lowest terms is 2/9.

What is the GCD (GCF) of 72 and 324?

The Greatest Common Divisor (GCD) of 72 and 324 is 36.

What are equivalent fractions to 72/324?

Equivalent fractions to 72/324 include 4/18, 6/27, and 8/36.