What is 520/430 Simplified? (Reduce 520/430 to Lowest Terms: 52/43)

Exact Answer

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Problem: Simplify 520/430 to Lowest Terms
Formula / Expression: 520/430 = 52/43
Final Answer: 1 9/43 (52/43)
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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 520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
• Factors of 430: 1, 2, 5, 10, 43, 86, 215, 430
Working: GCD(520, 430) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (520) and denominator (430) by 10.
Working: 520 ÷ 10/430 ÷ 10 = 52/43

Step 3: Convert Improper Fraction to a Mixed Number
Because 52 is larger than 43, 52/43 can also be written as the mixed number 1 9/43.
Working: 52/43 = 1 9/43

Key Values:
- Simplified Fraction: 52/43
- Mixed Number Form: 1 9/43
- Decimal Value: 1.209302
- Percentage: 120.9302%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-520-430/
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520/430 = 52/43

Simplified Fraction

52/43

Mixed Number

1 9/43

Decimal Value

1.209302

Percentage

120.9302%

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Step-by-Step Solution: 520/430 = 52/43

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
• Factors of 430: 1, 2, 5, 10, 43, 86, 215, 430

GCD(520, 430) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (520) and denominator (430) by 10.

520 ÷ 10/430 ÷ 10 = 52/43

Step 3

Convert Improper Fraction to a Mixed Number

Because 52 is larger than 43, 52/43 can also be written as the mixed number 1 9/43.

52/43 = 19/43

Visual Representation

The diagram below illustrates Simplify 520/430 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`52/43`
Mixed Number Form	`1 9/43`
Decimal Form	`1.209302`
Percentage	`120.9302%`

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Frequently Asked Questions

What is 520/430 in simplest form?

520/430 simplified to lowest terms is 52/43.

What is the GCD (GCF) of 520 and 430?

The Greatest Common Divisor (GCD) of 520 and 430 is 10.

What are equivalent fractions to 520/430?

Equivalent fractions to 520/430 include 104/86, 156/129, and 208/172.