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

Exact Answer

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Problem: Simplify 2080/1300 to Lowest Terms
Formula / Expression: 2080/1300 = 8/5
Final Answer: 1 3/5 (8/5)
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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 2080: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104
• Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325
Working: GCD(2080, 1300) = 260

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

Step 3: Convert Improper Fraction to a Mixed Number
Because 8 is larger than 5, 8/5 can also be written as the mixed number 1 3/5.
Working: 8/5 = 1 3/5

Key Values:
- Simplified Fraction: 8/5
- Mixed Number Form: 1 3/5
- Decimal Value: 1.6
- Percentage: 160%

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

Simplified Fraction

8/5

Mixed Number

1 3/5

Decimal Value

1.6

Percentage

160%

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

Step 1

Find the Factors of the Numerator and Denominator

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

GCD(2080, 1300) = 260

Step 2

Divide Both by the Greatest Common Divisor (GCD)

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

2080 ÷ 260/1300 ÷ 260 = 8/5

Step 3

Convert Improper Fraction to a Mixed Number

Because 8 is larger than 5, 8/5 can also be written as the mixed number 1 3/5.

8/5 = 13/5

Visual Representation

The diagram below illustrates Simplify 2080/1300 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/5`
Mixed Number Form	`1 3/5`
Decimal Form	`1.6`
Percentage	`160%`

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Frequently Asked Questions

What is 2080/1300 in simplest form?

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

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

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

What are equivalent fractions to 2080/1300?

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