What is 3080/3550 Simplified? (Reduce 3080/3550 to Lowest Terms: 308/355)

Exact Answer

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Problem: Simplify 3080/3550 to Lowest Terms
Formula / Expression: 3080/3550 = 308/355
Final Answer: 308/355
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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 3550: 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550
Working: GCD(3080, 3550) = 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 (3550) by 10.
Working: 3080 ÷ 10/3550 ÷ 10 = 308/355

Key Values:
- Simplified Fraction: 308/355
- Mixed Number Form: 308/355
- Decimal Value: 0.867606
- Percentage: 86.7606%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-3080-3550/
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3080/3550 = 308/355

Simplified Fraction

308/355

Mixed Number

Proper (308/355)

Decimal Value

0.867606

Percentage

86.7606%

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Step-by-Step Solution: 3080/3550 = 308/355

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 3550: 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550

GCD(3080, 3550) = 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 (3550) by 10.

3080 ÷ 10/3550 ÷ 10 = 308/355

Visual Representation

The diagram below illustrates Simplify 3080/3550 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`308/355`
Mixed Number Form	`308/355`
Decimal Form	`0.867606`
Percentage	`86.7606%`

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Frequently Asked Questions

What is 3080/3550 in simplest form?

3080/3550 simplified to lowest terms is 308/355.

What is the GCD (GCF) of 3080 and 3550?

The Greatest Common Divisor (GCD) of 3080 and 3550 is 10.

What are equivalent fractions to 3080/3550?

Equivalent fractions to 3080/3550 include 616/710, 924/1065, and 1232/1420.