What is 1300/2080 Simplified? (Reduce 1300/2080 to Lowest Terms: 5/8)

Exact Answer

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Problem: Simplify 1300/2080 to Lowest Terms
Formula / Expression: 1300/2080 = 5/8
Final Answer: 5/8
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325
• Factors of 2080: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104
Working: GCD(1300, 2080) = 260

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 260. Divide both the numerator (1300) and denominator (2080) by 260.
Working: 1300 ÷ 260/2080 ÷ 260 = 5/8

Key Values:
- Simplified Fraction: 5/8
- Mixed Number Form: 5/8
- Decimal Value: 0.625
- Percentage: 62.5%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1300-2080/
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1300/2080 = 5/8

Simplified Fraction

5/8

Mixed Number

Proper (5/8)

Decimal Value

0.625

Percentage

62.5%

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Step-by-Step Solution: 1300/2080 = 5/8

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325
• Factors of 2080: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104

GCD(1300, 2080) = 260

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 260. Divide both the numerator (1300) and denominator (2080) by 260.

1300 ÷ 260/2080 ÷ 260 = 5/8

Visual Representation

The diagram below illustrates Simplify 1300/2080 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/8`
Mixed Number Form	`5/8`
Decimal Form	`0.625`
Percentage	`62.5%`

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Frequently Asked Questions

What is 1300/2080 in simplest form?

1300/2080 simplified to lowest terms is 5/8.

What is the GCD (GCF) of 1300 and 2080?

The Greatest Common Divisor (GCD) of 1300 and 2080 is 260.

What are equivalent fractions to 1300/2080?

Equivalent fractions to 1300/2080 include 10/16, 15/24, and 20/32.