What is 138/440 Simplified? (Reduce 138/440 to Lowest Terms: 69/220)

Exact Answer

138/440 = 69/220

Simplified Fraction

69/220

Mixed Number

Proper (69/220)

Decimal Value

0.313636

Percentage

31.3636%

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Step-by-Step Solution: 138/440 = 69/220

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 440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD(138, 440) = 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 (440) by 2.

138 ÷ 2/440 ÷ 2 = 69/220

Visual Representation

The diagram below illustrates Simplify 138/440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/220`
Mixed Number Form	`69/220`
Decimal Form	`0.313636`
Percentage	`31.3636%`

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Frequently Asked Questions

What is 138/440 in simplest form?

138/440 simplified to lowest terms is 69/220.

What is the GCD (GCF) of 138 and 440?

The Greatest Common Divisor (GCD) of 138 and 440 is 2.

What are equivalent fractions to 138/440?

Equivalent fractions to 138/440 include 138/440, 207/660, and 276/880.