What is 138/224 Simplified? (Reduce 138/224 to Lowest Terms: 69/112)

Exact Answer

138/224 = 69/112

Simplified Fraction

69/112

Mixed Number

Proper (69/112)

Decimal Value

0.616071

Percentage

61.6071%

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Step-by-Step Solution: 138/224 = 69/112

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 224: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD(138, 224) = 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 (224) by 2.

138 ÷ 2/224 ÷ 2 = 69/112

Visual Representation

The diagram below illustrates Simplify 138/224 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/112`
Mixed Number Form	`69/112`
Decimal Form	`0.616071`
Percentage	`61.6071%`

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Frequently Asked Questions

What is 138/224 in simplest form?

138/224 simplified to lowest terms is 69/112.

What is the GCD (GCF) of 138 and 224?

The Greatest Common Divisor (GCD) of 138 and 224 is 2.

What are equivalent fractions to 138/224?

Equivalent fractions to 138/224 include 138/224, 207/336, and 276/448.