What is 138/212 Simplified? (Reduce 138/212 to Lowest Terms: 69/106)

Exact Answer

138/212 = 69/106

Simplified Fraction

69/106

Mixed Number

Proper (69/106)

Decimal Value

0.650943

Percentage

65.0943%

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Step-by-Step Solution: 138/212 = 69/106

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 212: 1, 2, 4, 53, 106, 212

GCD(138, 212) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (138) and denominator (212) by 2.

138 ÷ 2/212 ÷ 2 = 69/106

Visual Representation

The diagram below illustrates Simplify 138/212 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/106`
Mixed Number Form	`69/106`
Decimal Form	`0.650943`
Percentage	`65.0943%`

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Frequently Asked Questions

What is 138/212 in simplest form?

138/212 simplified to lowest terms is 69/106.

What is the GCD (GCF) of 138 and 212?

The Greatest Common Divisor (GCD) of 138 and 212 is 2.

What are equivalent fractions to 138/212?

Equivalent fractions to 138/212 include 138/212, 207/318, and 276/424.