What is 208/390 Simplified? (Reduce 208/390 to Lowest Terms: 8/15)

Exact Answer

208/390 = 8/15

Simplified Fraction

8/15

Mixed Number

Proper (8/15)

Decimal Value

0.533333

Percentage

53.3333%

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Step-by-Step Solution: 208/390 = 8/15

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 390: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD(208, 390) = 26

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 26. Divide both the numerator (208) and denominator (390) by 26.

208 ÷ 26/390 ÷ 26 = 8/15

Visual Representation

The diagram below illustrates Simplify 208/390 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/15`
Mixed Number Form	`8/15`
Decimal Form	`0.533333`
Percentage	`53.3333%`

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Frequently Asked Questions

What is 208/390 in simplest form?

208/390 simplified to lowest terms is 8/15.

What is the GCD (GCF) of 208 and 390?

The Greatest Common Divisor (GCD) of 208 and 390 is 26.

What are equivalent fractions to 208/390?

Equivalent fractions to 208/390 include 16/30, 24/45, and 32/60.