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

Exact Answer

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

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

Key Values:
- Simplified Fraction: 110/133
- Mixed Number Form: 110/133
- Decimal Value: 0.827068
- Percentage: 82.7068%

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

Simplified Fraction

110/133

Mixed Number

Proper (110/133)

Decimal Value

0.827068

Percentage

82.7068%

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

Step 1

Find the Factors of the Numerator and Denominator

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

GCD(1100, 1330) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

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

1100 ÷ 10/1330 ÷ 10 = 110/133

Visual Representation

The diagram below illustrates Simplify 1100/1330 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`110/133`
Mixed Number Form	`110/133`
Decimal Form	`0.827068`
Percentage	`82.7068%`

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Frequently Asked Questions

What is 1100/1330 in simplest form?

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

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

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

What are equivalent fractions to 1100/1330?

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