What is 160/260 Simplified? (Reduce 160/260 to Lowest Terms: 8/13)

Exact Answer

160/260 = 8/13

Simplified Fraction

8/13

Mixed Number

Proper (8/13)

Decimal Value

0.615385

Percentage

61.5385%

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Step-by-Step Solution: 160/260 = 8/13

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
• Factors of 260: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

GCD(160, 260) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (160) and denominator (260) by 20.

160 ÷ 20/260 ÷ 20 = 8/13

Visual Representation

The diagram below illustrates Simplify 160/260 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/13`
Mixed Number Form	`8/13`
Decimal Form	`0.615385`
Percentage	`61.5385%`

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Frequently Asked Questions

What is 160/260 in simplest form?

160/260 simplified to lowest terms is 8/13.

What is the GCD (GCF) of 160 and 260?

The Greatest Common Divisor (GCD) of 160 and 260 is 20.

What are equivalent fractions to 160/260?

Equivalent fractions to 160/260 include 16/26, 24/39, and 32/52.