What is 3080/2142 Simplified? (Reduce 3080/2142 to Lowest Terms: 220/153)

Exact Answer

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Problem: Simplify 3080/2142 to Lowest Terms
Formula / Expression: 3080/2142 = 220/153
Final Answer: 1 67/153 (220/153)
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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 3080: 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55
• Factors of 2142: 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119
Working: GCD(3080, 2142) = 14

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (3080) and denominator (2142) by 14.
Working: 3080 ÷ 14/2142 ÷ 14 = 220/153

Step 3: Convert Improper Fraction to a Mixed Number
Because 220 is larger than 153, 220/153 can also be written as the mixed number 1 67/153.
Working: 220/153 = 1 67/153

Key Values:
- Simplified Fraction: 220/153
- Mixed Number Form: 1 67/153
- Decimal Value: 1.437908
- Percentage: 143.7908%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-3080-2142/
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3080/2142 = 220/153

Simplified Fraction

220/153

Mixed Number

1 67/153

Decimal Value

1.437908

Percentage

143.7908%

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Step-by-Step Solution: 3080/2142 = 220/153

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 3080: 1, 2, 4, 5, 7, 8, 10, 11, 14, 20, 22, 28, 35, 40, 44, 55
• Factors of 2142: 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119

GCD(3080, 2142) = 14

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 14. Divide both the numerator (3080) and denominator (2142) by 14.

3080 ÷ 14/2142 ÷ 14 = 220/153

Step 3

Convert Improper Fraction to a Mixed Number

Because 220 is larger than 153, 220/153 can also be written as the mixed number 1 67/153.

220/153 = 167/153

Visual Representation

The diagram below illustrates Simplify 3080/2142 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`220/153`
Mixed Number Form	`1 67/153`
Decimal Form	`1.437908`
Percentage	`143.7908%`

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Frequently Asked Questions

What is 3080/2142 in simplest form?

3080/2142 simplified to lowest terms is 220/153.

What is the GCD (GCF) of 3080 and 2142?

The Greatest Common Divisor (GCD) of 3080 and 2142 is 14.

What are equivalent fractions to 3080/2142?

Equivalent fractions to 3080/2142 include 440/306, 660/459, and 880/612.