What is 48/208 Simplified? (Reduce 48/208 to Lowest Terms: 3/13)

Exact Answer

48/208 = 3/13

Simplified Fraction

3/13

Mixed Number

Proper (3/13)

Decimal Value

0.230769

Percentage

23.0769%

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Step-by-Step Solution: 48/208 = 3/13

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 208: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD(48, 208) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (48) and denominator (208) by 16.

48 ÷ 16/208 ÷ 16 = 3/13

Visual Representation

The diagram below illustrates Simplify 48/208 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/13`
Mixed Number Form	`3/13`
Decimal Form	`0.230769`
Percentage	`23.0769%`

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Frequently Asked Questions

What is 48/208 in simplest form?

48/208 simplified to lowest terms is 3/13.

What is the GCD (GCF) of 48 and 208?

The Greatest Common Divisor (GCD) of 48 and 208 is 16.

What are equivalent fractions to 48/208?

Equivalent fractions to 48/208 include 6/26, 9/39, and 12/52.