What is 260/320 Simplified? (Reduce 260/320 to Lowest Terms: 13/16)

Exact Answer

260/320 = 13/16

Simplified Fraction

13/16

Mixed Number

Proper (13/16)

Decimal Value

0.8125

Percentage

81.25%

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Step-by-Step Solution: 260/320 = 13/16

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 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD(260, 320) = 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 (320) by 20.

260 ÷ 20/320 ÷ 20 = 13/16

Visual Representation

The diagram below illustrates Simplify 260/320 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/16`
Mixed Number Form	`13/16`
Decimal Form	`0.8125`
Percentage	`81.25%`

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Frequently Asked Questions

What is 260/320 in simplest form?

260/320 simplified to lowest terms is 13/16.

What is the GCD (GCF) of 260 and 320?

The Greatest Common Divisor (GCD) of 260 and 320 is 20.

What are equivalent fractions to 260/320?

Equivalent fractions to 260/320 include 26/32, 39/48, and 52/64.