What is 138/216 Simplified? (Reduce 138/216 to Lowest Terms: 23/36)

Exact Answer

138/216 = 23/36

Simplified Fraction

23/36

Mixed Number

Proper (23/36)

Decimal Value

0.638889

Percentage

63.8889%

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Step-by-Step Solution: 138/216 = 23/36

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 138: 1, 2, 3, 6, 23, 46, 69, 138
• Factors of 216: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD(138, 216) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (138) and denominator (216) by 6.

138 ÷ 6/216 ÷ 6 = 23/36

Visual Representation

The diagram below illustrates Simplify 138/216 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/36`
Mixed Number Form	`23/36`
Decimal Form	`0.638889`
Percentage	`63.8889%`

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Frequently Asked Questions

What is 138/216 in simplest form?

138/216 simplified to lowest terms is 23/36.

What is the GCD (GCF) of 138 and 216?

The Greatest Common Divisor (GCD) of 138 and 216 is 6.

What are equivalent fractions to 138/216?

Equivalent fractions to 138/216 include 46/72, 69/108, and 92/144.