What is 76/138 Simplified? (Reduce 76/138 to Lowest Terms: 38/69)

Exact Answer

76/138 = 38/69

Simplified Fraction

38/69

Mixed Number

Proper (38/69)

Decimal Value

0.550725

Percentage

55.0725%

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Step-by-Step Solution: 76/138 = 38/69

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 76: 1, 2, 4, 19, 38, 76
• Factors of 138: 1, 2, 3, 6, 23, 46, 69, 138

GCD(76, 138) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (76) and denominator (138) by 2.

76 ÷ 2/138 ÷ 2 = 38/69

Visual Representation

The diagram below illustrates Simplify 76/138 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`38/69`
Mixed Number Form	`38/69`
Decimal Form	`0.550725`
Percentage	`55.0725%`

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Frequently Asked Questions

What is 76/138 in simplest form?

76/138 simplified to lowest terms is 38/69.

What is the GCD (GCF) of 76 and 138?

The Greatest Common Divisor (GCD) of 76 and 138 is 2.

What are equivalent fractions to 76/138?

Equivalent fractions to 76/138 include 76/138, 114/207, and 152/276.