What is 260/360 Simplified? (Reduce 260/360 to Lowest Terms: 13/18)

Exact Answer

260/360 = 13/18

Simplified Fraction

13/18

Mixed Number

Proper (13/18)

Decimal Value

0.722222

Percentage

72.2222%

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Step-by-Step Solution: 260/360 = 13/18

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 260: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
• Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36

GCD(260, 360) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (260) and denominator (360) by 20.

260 ÷ 20/360 ÷ 20 = 13/18

Visual Representation

The diagram below illustrates Simplify 260/360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/18`
Mixed Number Form	`13/18`
Decimal Form	`0.722222`
Percentage	`72.2222%`

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Frequently Asked Questions

What is 260/360 in simplest form?

260/360 simplified to lowest terms is 13/18.

What is the GCD (GCF) of 260 and 360?

The Greatest Common Divisor (GCD) of 260 and 360 is 20.

What are equivalent fractions to 260/360?

Equivalent fractions to 260/360 include 26/36, 39/54, and 52/72.