What is 138/228 Simplified? (Reduce 138/228 to Lowest Terms: 23/38)

Exact Answer

138/228 = 23/38

Simplified Fraction

23/38

Mixed Number

Proper (23/38)

Decimal Value

0.605263

Percentage

60.5263%

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Step-by-Step Solution: 138/228 = 23/38

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 228: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD(138, 228) = 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 (228) by 6.

138 ÷ 6/228 ÷ 6 = 23/38

Visual Representation

The diagram below illustrates Simplify 138/228 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/38`
Mixed Number Form	`23/38`
Decimal Form	`0.605263`
Percentage	`60.5263%`

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Frequently Asked Questions

What is 138/228 in simplest form?

138/228 simplified to lowest terms is 23/38.

What is the GCD (GCF) of 138 and 228?

The Greatest Common Divisor (GCD) of 138 and 228 is 6.

What are equivalent fractions to 138/228?

Equivalent fractions to 138/228 include 46/76, 69/114, and 92/152.