What is 580/418 Simplified? (Reduce 580/418 to Lowest Terms: 290/209)

Exact Answer

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Problem: Simplify 580/418 to Lowest Terms
Formula / Expression: 580/418 = 290/209
Final Answer: 1 81/209 (290/209)
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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 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
• Factors of 418: 1, 2, 11, 19, 22, 38, 209, 418
Working: GCD(580, 418) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (580) and denominator (418) by 2.
Working: 580 ÷ 2/418 ÷ 2 = 290/209

Step 3: Convert Improper Fraction to a Mixed Number
Because 290 is larger than 209, 290/209 can also be written as the mixed number 1 81/209.
Working: 290/209 = 1 81/209

Key Values:
- Simplified Fraction: 290/209
- Mixed Number Form: 1 81/209
- Decimal Value: 1.38756
- Percentage: 138.756%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-580-418/
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580/418 = 290/209

Simplified Fraction

290/209

Mixed Number

1 81/209

Decimal Value

1.38756

Percentage

138.756%

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Step-by-Step Solution: 580/418 = 290/209

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 580: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
• Factors of 418: 1, 2, 11, 19, 22, 38, 209, 418

GCD(580, 418) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (580) and denominator (418) by 2.

580 ÷ 2/418 ÷ 2 = 290/209

Step 3

Convert Improper Fraction to a Mixed Number

Because 290 is larger than 209, 290/209 can also be written as the mixed number 1 81/209.

290/209 = 181/209

Visual Representation

The diagram below illustrates Simplify 580/418 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`290/209`
Mixed Number Form	`1 81/209`
Decimal Form	`1.38756`
Percentage	`138.756%`

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Frequently Asked Questions

What is 580/418 in simplest form?

580/418 simplified to lowest terms is 290/209.

What is the GCD (GCF) of 580 and 418?

The Greatest Common Divisor (GCD) of 580 and 418 is 2.

What are equivalent fractions to 580/418?

Equivalent fractions to 580/418 include 580/418, 870/627, and 1160/836.