What is 520/1430 Simplified? (Reduce 520/1430 to Lowest Terms: 4/11)

Exact Answer

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Problem: Simplify 520/1430 to Lowest Terms
Formula / Expression: 520/1430 = 4/11
Final Answer: 4/11
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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 1430: 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
Working: GCD(520, 1430) = 130

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 130. Divide both the numerator (520) and denominator (1430) by 130.
Working: 520 ÷ 130/1430 ÷ 130 = 4/11

Key Values:
- Simplified Fraction: 4/11
- Mixed Number Form: 4/11
- Decimal Value: 0.363636
- Percentage: 36.3636%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-520-1430/
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520/1430 = 4/11

Simplified Fraction

4/11

Mixed Number

Proper (4/11)

Decimal Value

0.363636

Percentage

36.3636%

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Step-by-Step Solution: 520/1430 = 4/11

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 1430: 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430

GCD(520, 1430) = 130

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 130. Divide both the numerator (520) and denominator (1430) by 130.

520 ÷ 130/1430 ÷ 130 = 4/11

Visual Representation

The diagram below illustrates Simplify 520/1430 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/11`
Mixed Number Form	`4/11`
Decimal Form	`0.363636`
Percentage	`36.3636%`

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Frequently Asked Questions

What is 520/1430 in simplest form?

520/1430 simplified to lowest terms is 4/11.

What is the GCD (GCF) of 520 and 1430?

The Greatest Common Divisor (GCD) of 520 and 1430 is 130.

What are equivalent fractions to 520/1430?

Equivalent fractions to 520/1430 include 8/22, 12/33, and 16/44.