What is 1330/1220 Simplified? (Reduce 1330/1220 to Lowest Terms: 133/122)

Exact Answer

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Problem: Simplify 1330/1220 to Lowest Terms
Formula / Expression: 1330/1220 = 133/122
Final Answer: 1 11/122 (133/122)
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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 1220: 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220
Working: GCD(1330, 1220) = 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 (1220) by 10.
Working: 1330 ÷ 10/1220 ÷ 10 = 133/122

Step 3: Convert Improper Fraction to a Mixed Number
Because 133 is larger than 122, 133/122 can also be written as the mixed number 1 11/122.
Working: 133/122 = 1 11/122

Key Values:
- Simplified Fraction: 133/122
- Mixed Number Form: 1 11/122
- Decimal Value: 1.090164
- Percentage: 109.0164%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1330-1220/
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1330/1220 = 133/122

Simplified Fraction

133/122

Mixed Number

1 11/122

Decimal Value

1.090164

Percentage

109.0164%

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Step-by-Step Solution: 1330/1220 = 133/122

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 1220: 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220

GCD(1330, 1220) = 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 (1220) by 10.

1330 ÷ 10/1220 ÷ 10 = 133/122

Step 3

Convert Improper Fraction to a Mixed Number

Because 133 is larger than 122, 133/122 can also be written as the mixed number 1 11/122.

133/122 = 111/122

Visual Representation

The diagram below illustrates Simplify 1330/1220 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`133/122`
Mixed Number Form	`1 11/122`
Decimal Form	`1.090164`
Percentage	`109.0164%`

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Frequently Asked Questions

What is 1330/1220 in simplest form?

1330/1220 simplified to lowest terms is 133/122.

What is the GCD (GCF) of 1330 and 1220?

The Greatest Common Divisor (GCD) of 1330 and 1220 is 10.

What are equivalent fractions to 1330/1220?

Equivalent fractions to 1330/1220 include 266/244, 399/366, and 532/488.