What is 130/360 Simplified? (Reduce 130/360 to Lowest Terms: 13/36)

Exact Answer

130/360 = 13/36

Simplified Fraction

13/36

Mixed Number

Proper (13/36)

Decimal Value

0.361111

Percentage

36.1111%

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Step-by-Step Solution: 130/360 = 13/36

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
• Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36

GCD(130, 360) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (130) and denominator (360) by 10.

130 ÷ 10/360 ÷ 10 = 13/36

Visual Representation

The diagram below illustrates Simplify 130/360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/36`
Mixed Number Form	`13/36`
Decimal Form	`0.361111`
Percentage	`36.1111%`

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Frequently Asked Questions

What is 130/360 in simplest form?

130/360 simplified to lowest terms is 13/36.

What is the GCD (GCF) of 130 and 360?

The Greatest Common Divisor (GCD) of 130 and 360 is 10.

What are equivalent fractions to 130/360?

Equivalent fractions to 130/360 include 26/72, 39/108, and 52/144.