What is 270/1308 Simplified? (Reduce 270/1308 to Lowest Terms: 45/218)

Exact Answer

270/1308 = 45/218

Simplified Fraction

45/218

Mixed Number

Proper (45/218)

Decimal Value

0.206422

Percentage

20.6422%

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Step-by-Step Solution: 270/1308 = 45/218

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
• Factors of 1308: 1, 2, 3, 4, 6, 12, 109, 218, 327, 436, 654, 1308

GCD(270, 1308) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (270) and denominator (1308) by 6.

270 ÷ 6/1308 ÷ 6 = 45/218

Visual Representation

The diagram below illustrates Simplify 270/1308 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`45/218`
Mixed Number Form	`45/218`
Decimal Form	`0.206422`
Percentage	`20.6422%`

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Frequently Asked Questions

What is 270/1308 in simplest form?

270/1308 simplified to lowest terms is 45/218.

What is the GCD (GCF) of 270 and 1308?

The Greatest Common Divisor (GCD) of 270 and 1308 is 6.

What are equivalent fractions to 270/1308?

Equivalent fractions to 270/1308 include 90/436, 135/654, and 180/872.