What is 1090/880 Simplified? (Reduce 1090/880 to Lowest Terms: 109/88)

Exact Answer

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Problem: Simplify 1090/880 to Lowest Terms
Formula / Expression: 1090/880 = 109/88
Final Answer: 1 21/88 (109/88)
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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 1090: 1, 2, 5, 10, 109, 218, 545, 1090
• Factors of 880: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110
Working: GCD(1090, 880) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1090) and denominator (880) by 10.
Working: 1090 ÷ 10/880 ÷ 10 = 109/88

Step 3: Convert Improper Fraction to a Mixed Number
Because 109 is larger than 88, 109/88 can also be written as the mixed number 1 21/88.
Working: 109/88 = 1 21/88

Key Values:
- Simplified Fraction: 109/88
- Mixed Number Form: 1 21/88
- Decimal Value: 1.238636
- Percentage: 123.8636%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1090-880/
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1090/880 = 109/88

Simplified Fraction

109/88

Mixed Number

1 21/88

Decimal Value

1.238636

Percentage

123.8636%

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Step-by-Step Solution: 1090/880 = 109/88

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1090: 1, 2, 5, 10, 109, 218, 545, 1090
• Factors of 880: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110

GCD(1090, 880) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1090) and denominator (880) by 10.

1090 ÷ 10/880 ÷ 10 = 109/88

Step 3

Convert Improper Fraction to a Mixed Number

Because 109 is larger than 88, 109/88 can also be written as the mixed number 1 21/88.

109/88 = 121/88

Visual Representation

The diagram below illustrates Simplify 1090/880 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`109/88`
Mixed Number Form	`1 21/88`
Decimal Form	`1.238636`
Percentage	`123.8636%`

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Frequently Asked Questions

What is 1090/880 in simplest form?

1090/880 simplified to lowest terms is 109/88.

What is the GCD (GCF) of 1090 and 880?

The Greatest Common Divisor (GCD) of 1090 and 880 is 10.

What are equivalent fractions to 1090/880?

Equivalent fractions to 1090/880 include 218/176, 327/264, and 436/352.