What is 230/360 Simplified? (Reduce 230/360 to Lowest Terms: 23/36)

Exact Answer

230/360 = 23/36

Simplified Fraction

23/36

Mixed Number

Proper (23/36)

Decimal Value

0.638889

Percentage

63.8889%

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Step-by-Step Solution: 230/360 = 23/36

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 230: 1, 2, 5, 10, 23, 46, 115, 230
• Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36

GCD(230, 360) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (230) and denominator (360) by 10.

230 ÷ 10/360 ÷ 10 = 23/36

Visual Representation

The diagram below illustrates Simplify 230/360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/36`
Mixed Number Form	`23/36`
Decimal Form	`0.638889`
Percentage	`63.8889%`

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Frequently Asked Questions

What is 230/360 in simplest form?

230/360 simplified to lowest terms is 23/36.

What is the GCD (GCF) of 230 and 360?

The Greatest Common Divisor (GCD) of 230 and 360 is 10.

What are equivalent fractions to 230/360?

Equivalent fractions to 230/360 include 46/72, 69/108, and 92/144.