What is 230/420 Simplified? (Reduce 230/420 to Lowest Terms: 23/42)

Exact Answer

230/420 = 23/42

Simplified Fraction

23/42

Mixed Number

Proper (23/42)

Decimal Value

0.547619

Percentage

54.7619%

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Step-by-Step Solution: 230/420 = 23/42

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 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(230, 420) = 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 (420) by 10.

230 ÷ 10/420 ÷ 10 = 23/42

Visual Representation

The diagram below illustrates Simplify 230/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/42`
Mixed Number Form	`23/42`
Decimal Form	`0.547619`
Percentage	`54.7619%`

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Frequently Asked Questions

What is 230/420 in simplest form?

230/420 simplified to lowest terms is 23/42.

What is the GCD (GCF) of 230 and 420?

The Greatest Common Divisor (GCD) of 230 and 420 is 10.

What are equivalent fractions to 230/420?

Equivalent fractions to 230/420 include 46/84, 69/126, and 92/168.