What is 300/520 Simplified? (Reduce 300/520 to Lowest Terms: 15/26)

Exact Answer

300/520 = 15/26

Simplified Fraction

15/26

Mixed Number

Proper (15/26)

Decimal Value

0.576923

Percentage

57.6923%

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Step-by-Step Solution: 300/520 = 15/26

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
• Factors of 520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD(300, 520) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (300) and denominator (520) by 20.

300 ÷ 20/520 ÷ 20 = 15/26

Visual Representation

The diagram below illustrates Simplify 300/520 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/26`
Mixed Number Form	`15/26`
Decimal Form	`0.576923`
Percentage	`57.6923%`

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Frequently Asked Questions

What is 300/520 in simplest form?

300/520 simplified to lowest terms is 15/26.

What is the GCD (GCF) of 300 and 520?

The Greatest Common Divisor (GCD) of 300 and 520 is 20.

What are equivalent fractions to 300/520?

Equivalent fractions to 300/520 include 30/52, 45/78, and 60/104.