What is 208/768 Simplified? (Reduce 208/768 to Lowest Terms: 13/48)

Exact Answer

208/768 = 13/48

Simplified Fraction

13/48

Mixed Number

Proper (13/48)

Decimal Value

0.270833

Percentage

27.0833%

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Step-by-Step Solution: 208/768 = 13/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 208: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
• Factors of 768: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256

GCD(208, 768) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (208) and denominator (768) by 16.

208 ÷ 16/768 ÷ 16 = 13/48

Visual Representation

The diagram below illustrates Simplify 208/768 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/48`
Mixed Number Form	`13/48`
Decimal Form	`0.270833`
Percentage	`27.0833%`

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Frequently Asked Questions

What is 208/768 in simplest form?

208/768 simplified to lowest terms is 13/48.

What is the GCD (GCF) of 208 and 768?

The Greatest Common Divisor (GCD) of 208 and 768 is 16.

What are equivalent fractions to 208/768?

Equivalent fractions to 208/768 include 26/96, 39/144, and 52/192.