What is 138/180 Simplified? (Reduce 138/180 to Lowest Terms: 23/30)

Exact Answer

138/180 = 23/30

Simplified Fraction

23/30

Mixed Number

Proper (23/30)

Decimal Value

0.766667

Percentage

76.6667%

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Step-by-Step Solution: 138/180 = 23/30

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 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60

GCD(138, 180) = 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 (180) by 6.

138 ÷ 6/180 ÷ 6 = 23/30

Visual Representation

The diagram below illustrates Simplify 138/180 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/30`
Mixed Number Form	`23/30`
Decimal Form	`0.766667`
Percentage	`76.6667%`

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Frequently Asked Questions

What is 138/180 in simplest form?

138/180 simplified to lowest terms is 23/30.

What is the GCD (GCF) of 138 and 180?

The Greatest Common Divisor (GCD) of 138 and 180 is 6.

What are equivalent fractions to 138/180?

Equivalent fractions to 138/180 include 46/60, 69/90, and 92/120.