What is 1320/1302 Simplified? (Reduce 1320/1302 to Lowest Terms: 220/217)

Exact Answer

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Problem: Simplify 1320/1302 to Lowest Terms
Formula / Expression: 1320/1302 = 220/217
Final Answer: 1 3/217 (220/217)
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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 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 1302: 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302
Working: GCD(1320, 1302) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1320) and denominator (1302) by 6.
Working: 1320 ÷ 6/1302 ÷ 6 = 220/217

Step 3: Convert Improper Fraction to a Mixed Number
Because 220 is larger than 217, 220/217 can also be written as the mixed number 1 3/217.
Working: 220/217 = 1 3/217

Key Values:
- Simplified Fraction: 220/217
- Mixed Number Form: 1 3/217
- Decimal Value: 1.013825
- Percentage: 101.3825%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1320-1302/
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1320/1302 = 220/217

Simplified Fraction

220/217

Mixed Number

1 3/217

Decimal Value

1.013825

Percentage

101.3825%

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Step-by-Step Solution: 1320/1302 = 220/217

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 1302: 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 1302

GCD(1320, 1302) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (1320) and denominator (1302) by 6.

1320 ÷ 6/1302 ÷ 6 = 220/217

Step 3

Convert Improper Fraction to a Mixed Number

Because 220 is larger than 217, 220/217 can also be written as the mixed number 1 3/217.

220/217 = 13/217

Visual Representation

The diagram below illustrates Simplify 1320/1302 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`220/217`
Mixed Number Form	`1 3/217`
Decimal Form	`1.013825`
Percentage	`101.3825%`

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Frequently Asked Questions

What is 1320/1302 in simplest form?

1320/1302 simplified to lowest terms is 220/217.

What is the GCD (GCF) of 1320 and 1302?

The Greatest Common Divisor (GCD) of 1320 and 1302 is 6.

What are equivalent fractions to 1320/1302?

Equivalent fractions to 1320/1302 include 440/434, 660/651, and 880/868.