What is 138/400 Simplified? (Reduce 138/400 to Lowest Terms: 69/200)

Exact Answer

138/400 = 69/200

Simplified Fraction

69/200

Mixed Number

Proper (69/200)

Decimal Value

0.345

Percentage

34.5%

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Step-by-Step Solution: 138/400 = 69/200

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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(138, 400) = 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 (400) by 2.

138 ÷ 2/400 ÷ 2 = 69/200

Visual Representation

The diagram below illustrates Simplify 138/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/200`
Mixed Number Form	`69/200`
Decimal Form	`0.345`
Percentage	`34.5%`

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Frequently Asked Questions

What is 138/400 in simplest form?

138/400 simplified to lowest terms is 69/200.

What is the GCD (GCF) of 138 and 400?

The Greatest Common Divisor (GCD) of 138 and 400 is 2.

What are equivalent fractions to 138/400?

Equivalent fractions to 138/400 include 138/400, 207/600, and 276/800.