What is 3080/1150 Simplified? (Reduce 3080/1150 to Lowest Terms: 308/115)

Exact Answer

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Problem: Simplify 3080/1150 to Lowest Terms
Formula / Expression: 3080/1150 = 308/115
Final Answer: 2 78/115 (308/115)
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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 1150: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
Working: GCD(3080, 1150) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (3080) and denominator (1150) by 10.
Working: 3080 ÷ 10/1150 ÷ 10 = 308/115

Step 3: Convert Improper Fraction to a Mixed Number
Because 308 is larger than 115, 308/115 can also be written as the mixed number 2 78/115.
Working: 308/115 = 2 78/115

Key Values:
- Simplified Fraction: 308/115
- Mixed Number Form: 2 78/115
- Decimal Value: 2.678261
- Percentage: 267.8261%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-3080-1150/
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3080/1150 = 308/115

Simplified Fraction

308/115

Mixed Number

2 78/115

Decimal Value

2.678261

Percentage

267.8261%

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Step-by-Step Solution: 3080/1150 = 308/115

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 1150: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150

GCD(3080, 1150) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (3080) and denominator (1150) by 10.

3080 ÷ 10/1150 ÷ 10 = 308/115

Step 3

Convert Improper Fraction to a Mixed Number

Because 308 is larger than 115, 308/115 can also be written as the mixed number 2 78/115.

308/115 = 278/115

Visual Representation

The diagram below illustrates Simplify 3080/1150 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`308/115`
Mixed Number Form	`2 78/115`
Decimal Form	`2.678261`
Percentage	`267.8261%`

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Frequently Asked Questions

What is 3080/1150 in simplest form?

3080/1150 simplified to lowest terms is 308/115.

What is the GCD (GCF) of 3080 and 1150?

The Greatest Common Divisor (GCD) of 3080 and 1150 is 10.

What are equivalent fractions to 3080/1150?

Equivalent fractions to 3080/1150 include 616/230, 924/345, and 1232/460.