What is 1380/1090 Simplified? (Reduce 1380/1090 to Lowest Terms: 138/109)

Exact Answer

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Problem: Simplify 1380/1090 to Lowest Terms
Formula / Expression: 1380/1090 = 138/109
Final Answer: 1 29/109 (138/109)
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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 1090: 1, 2, 5, 10, 109, 218, 545, 1090
Working: GCD(1380, 1090) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1380) and denominator (1090) by 10.
Working: 1380 ÷ 10/1090 ÷ 10 = 138/109

Step 3: Convert Improper Fraction to a Mixed Number
Because 138 is larger than 109, 138/109 can also be written as the mixed number 1 29/109.
Working: 138/109 = 1 29/109

Key Values:
- Simplified Fraction: 138/109
- Mixed Number Form: 1 29/109
- Decimal Value: 1.266055
- Percentage: 126.6055%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1380-1090/
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1380/1090 = 138/109

Simplified Fraction

138/109

Mixed Number

1 29/109

Decimal Value

1.266055

Percentage

126.6055%

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Step-by-Step Solution: 1380/1090 = 138/109

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 1090: 1, 2, 5, 10, 109, 218, 545, 1090

GCD(1380, 1090) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1380) and denominator (1090) by 10.

1380 ÷ 10/1090 ÷ 10 = 138/109

Step 3

Convert Improper Fraction to a Mixed Number

Because 138 is larger than 109, 138/109 can also be written as the mixed number 1 29/109.

138/109 = 129/109

Visual Representation

The diagram below illustrates Simplify 1380/1090 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`138/109`
Mixed Number Form	`1 29/109`
Decimal Form	`1.266055`
Percentage	`126.6055%`

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Frequently Asked Questions

What is 1380/1090 in simplest form?

1380/1090 simplified to lowest terms is 138/109.

What is the GCD (GCF) of 1380 and 1090?

The Greatest Common Divisor (GCD) of 1380 and 1090 is 10.

What are equivalent fractions to 1380/1090?

Equivalent fractions to 1380/1090 include 276/218, 414/327, and 552/436.