What is 78/324 Simplified? (Reduce 78/324 to Lowest Terms: 13/54)

Exact Answer

78/324 = 13/54

Simplified Fraction

13/54

Mixed Number

Proper (13/54)

Decimal Value

0.240741

Percentage

24.0741%

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Step-by-Step Solution: 78/324 = 13/54

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD(78, 324) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (78) and denominator (324) by 6.

78 ÷ 6/324 ÷ 6 = 13/54

Visual Representation

The diagram below illustrates Simplify 78/324 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/54`
Mixed Number Form	`13/54`
Decimal Form	`0.240741`
Percentage	`24.0741%`

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Frequently Asked Questions

What is 78/324 in simplest form?

78/324 simplified to lowest terms is 13/54.

What is the GCD (GCF) of 78 and 324?

The Greatest Common Divisor (GCD) of 78 and 324 is 6.

What are equivalent fractions to 78/324?

Equivalent fractions to 78/324 include 26/108, 39/162, and 52/216.