What is 72/228 Simplified? (Reduce 72/228 to Lowest Terms: 6/19)

Exact Answer

72/228 = 6/19

Simplified Fraction

6/19

Mixed Number

Proper (6/19)

Decimal Value

0.315789

Percentage

31.5789%

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Step-by-Step Solution: 72/228 = 6/19

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 228: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD(72, 228) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (72) and denominator (228) by 12.

72 ÷ 12/228 ÷ 12 = 6/19

Visual Representation

The diagram below illustrates Simplify 72/228 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/19`
Mixed Number Form	`6/19`
Decimal Form	`0.315789`
Percentage	`31.5789%`

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Frequently Asked Questions

What is 72/228 in simplest form?

72/228 simplified to lowest terms is 6/19.

What is the GCD (GCF) of 72 and 228?

The Greatest Common Divisor (GCD) of 72 and 228 is 12.

What are equivalent fractions to 72/228?

Equivalent fractions to 72/228 include 12/38, 18/57, and 24/76.