What is 138/416 Simplified? (Reduce 138/416 to Lowest Terms: 69/208)

Exact Answer

138/416 = 69/208

Simplified Fraction

69/208

Mixed Number

Proper (69/208)

Decimal Value

0.331731

Percentage

33.1731%

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Step-by-Step Solution: 138/416 = 69/208

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 416: 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD(138, 416) = 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 (416) by 2.

138 ÷ 2/416 ÷ 2 = 69/208

Visual Representation

The diagram below illustrates Simplify 138/416 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/208`
Mixed Number Form	`69/208`
Decimal Form	`0.331731`
Percentage	`33.1731%`

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Frequently Asked Questions

What is 138/416 in simplest form?

138/416 simplified to lowest terms is 69/208.

What is the GCD (GCF) of 138 and 416?

The Greatest Common Divisor (GCD) of 138 and 416 is 2.

What are equivalent fractions to 138/416?

Equivalent fractions to 138/416 include 138/416, 207/624, and 276/832.