What is 138/200 Simplified? (Reduce 138/200 to Lowest Terms: 69/100)

Exact Answer

138/200 = 69/100

Simplified Fraction

69/100

Mixed Number

Proper (69/100)

Decimal Value

0.69

Percentage

69%

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Step-by-Step Solution: 138/200 = 69/100

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

GCD(138, 200) = 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 (200) by 2.

138 ÷ 2/200 ÷ 2 = 69/100

Visual Representation

The diagram below illustrates Simplify 138/200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/100`
Mixed Number Form	`69/100`
Decimal Form	`0.69`
Percentage	`69%`

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Frequently Asked Questions

What is 138/200 in simplest form?

138/200 simplified to lowest terms is 69/100.

What is the GCD (GCF) of 138 and 200?

The Greatest Common Divisor (GCD) of 138 and 200 is 2.

What are equivalent fractions to 138/200?

Equivalent fractions to 138/200 include 138/200, 207/300, and 276/400.