What is 260/400 Simplified? (Reduce 260/400 to Lowest Terms: 13/20)

Exact Answer

260/400 = 13/20

Simplified Fraction

13/20

Mixed Number

Proper (13/20)

Decimal Value

0.65

Percentage

65%

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Step-by-Step Solution: 260/400 = 13/20

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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(260, 400) = 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 (400) by 20.

260 ÷ 20/400 ÷ 20 = 13/20

Visual Representation

The diagram below illustrates Simplify 260/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/20`
Mixed Number Form	`13/20`
Decimal Form	`0.65`
Percentage	`65%`

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Frequently Asked Questions

What is 260/400 in simplest form?

260/400 simplified to lowest terms is 13/20.

What is the GCD (GCF) of 260 and 400?

The Greatest Common Divisor (GCD) of 260 and 400 is 20.

What are equivalent fractions to 260/400?

Equivalent fractions to 260/400 include 26/40, 39/60, and 52/80.