What is 138/344 Simplified? (Reduce 138/344 to Lowest Terms: 69/172)

Exact Answer

138/344 = 69/172

Simplified Fraction

69/172

Mixed Number

Proper (69/172)

Decimal Value

0.401163

Percentage

40.1163%

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Step-by-Step Solution: 138/344 = 69/172

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 344: 1, 2, 4, 8, 43, 86, 172, 344

GCD(138, 344) = 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 (344) by 2.

138 ÷ 2/344 ÷ 2 = 69/172

Visual Representation

The diagram below illustrates Simplify 138/344 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/172`
Mixed Number Form	`69/172`
Decimal Form	`0.401163`
Percentage	`40.1163%`

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Frequently Asked Questions

What is 138/344 in simplest form?

138/344 simplified to lowest terms is 69/172.

What is the GCD (GCF) of 138 and 344?

The Greatest Common Divisor (GCD) of 138 and 344 is 2.

What are equivalent fractions to 138/344?

Equivalent fractions to 138/344 include 138/344, 207/516, and 276/688.