What is 1380/5200 Simplified? (Reduce 1380/5200 to Lowest Terms: 69/260)

Exact Answer

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Problem: Simplify 1380/5200 to Lowest Terms
Formula / Expression: 1380/5200 = 69/260
Final Answer: 69/260
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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 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92
• Factors of 5200: 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80
Working: GCD(1380, 5200) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1380) and denominator (5200) by 20.
Working: 1380 ÷ 20/5200 ÷ 20 = 69/260

Key Values:
- Simplified Fraction: 69/260
- Mixed Number Form: 69/260
- Decimal Value: 0.265385
- Percentage: 26.5385%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1380-5200/
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1380/5200 = 69/260

Simplified Fraction

69/260

Mixed Number

Proper (69/260)

Decimal Value

0.265385

Percentage

26.5385%

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Step-by-Step Solution: 1380/5200 = 69/260

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92
• Factors of 5200: 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80

GCD(1380, 5200) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1380) and denominator (5200) by 20.

1380 ÷ 20/5200 ÷ 20 = 69/260

Visual Representation

The diagram below illustrates Simplify 1380/5200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/260`
Mixed Number Form	`69/260`
Decimal Form	`0.265385`
Percentage	`26.5385%`

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Frequently Asked Questions

What is 1380/5200 in simplest form?

1380/5200 simplified to lowest terms is 69/260.

What is the GCD (GCF) of 1380 and 5200?

The Greatest Common Divisor (GCD) of 1380 and 5200 is 20.

What are equivalent fractions to 1380/5200?

Equivalent fractions to 1380/5200 include 138/520, 207/780, and 276/1040.