What is 1330/1100 Simplified? (Reduce 1330/1100 to Lowest Terms: 133/110)

Exact Answer

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Problem: Simplify 1330/1100 to Lowest Terms
Formula / Expression: 1330/1100 = 133/110
Final Answer: 1 23/110 (133/110)
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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 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1100: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275
Working: GCD(1330, 1100) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1330) and denominator (1100) by 10.
Working: 1330 ÷ 10/1100 ÷ 10 = 133/110

Step 3: Convert Improper Fraction to a Mixed Number
Because 133 is larger than 110, 133/110 can also be written as the mixed number 1 23/110.
Working: 133/110 = 1 23/110

Key Values:
- Simplified Fraction: 133/110
- Mixed Number Form: 1 23/110
- Decimal Value: 1.209091
- Percentage: 120.9091%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1330-1100/
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1330/1100 = 133/110

Simplified Fraction

133/110

Mixed Number

1 23/110

Decimal Value

1.209091

Percentage

120.9091%

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Step-by-Step Solution: 1330/1100 = 133/110

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1100: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275

GCD(1330, 1100) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1330) and denominator (1100) by 10.

1330 ÷ 10/1100 ÷ 10 = 133/110

Step 3

Convert Improper Fraction to a Mixed Number

Because 133 is larger than 110, 133/110 can also be written as the mixed number 1 23/110.

133/110 = 123/110

Visual Representation

The diagram below illustrates Simplify 1330/1100 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`133/110`
Mixed Number Form	`1 23/110`
Decimal Form	`1.209091`
Percentage	`120.9091%`

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Frequently Asked Questions

What is 1330/1100 in simplest form?

1330/1100 simplified to lowest terms is 133/110.

What is the GCD (GCF) of 1330 and 1100?

The Greatest Common Divisor (GCD) of 1330 and 1100 is 10.

What are equivalent fractions to 1330/1100?

Equivalent fractions to 1330/1100 include 266/220, 399/330, and 532/440.