What is 138/288 Simplified? (Reduce 138/288 to Lowest Terms: 23/48)

Exact Answer

138/288 = 23/48

Simplified Fraction

23/48

Mixed Number

Proper (23/48)

Decimal Value

0.479167

Percentage

47.9167%

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Step-by-Step Solution: 138/288 = 23/48

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 288: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96

GCD(138, 288) = 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 (288) by 6.

138 ÷ 6/288 ÷ 6 = 23/48

Visual Representation

The diagram below illustrates Simplify 138/288 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/48`
Mixed Number Form	`23/48`
Decimal Form	`0.479167`
Percentage	`47.9167%`

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Frequently Asked Questions

What is 138/288 in simplest form?

138/288 simplified to lowest terms is 23/48.

What is the GCD (GCF) of 138 and 288?

The Greatest Common Divisor (GCD) of 138 and 288 is 6.

What are equivalent fractions to 138/288?

Equivalent fractions to 138/288 include 46/96, 69/144, and 92/192.