What is 78/216 Simplified? (Reduce 78/216 to Lowest Terms: 13/36)

Exact Answer

78/216 = 13/36

Simplified Fraction

13/36

Mixed Number

Proper (13/36)

Decimal Value

0.361111

Percentage

36.1111%

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Step-by-Step Solution: 78/216 = 13/36

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 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD(78, 216) = 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 (216) by 6.

78 ÷ 6/216 ÷ 6 = 13/36

Visual Representation

The diagram below illustrates Simplify 78/216 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/36`
Mixed Number Form	`13/36`
Decimal Form	`0.361111`
Percentage	`36.1111%`

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Frequently Asked Questions

What is 78/216 in simplest form?

78/216 simplified to lowest terms is 13/36.

What is the GCD (GCF) of 78 and 216?

The Greatest Common Divisor (GCD) of 78 and 216 is 6.

What are equivalent fractions to 78/216?

Equivalent fractions to 78/216 include 26/72, 39/108, and 52/144.