What is 120/438 Simplified? (Reduce 120/438 to Lowest Terms: 20/73)

Exact Answer

120/438 = 20/73

Simplified Fraction

20/73

Mixed Number

Proper (20/73)

Decimal Value

0.273973

Percentage

27.3973%

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Step-by-Step Solution: 120/438 = 20/73

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 438: 1, 2, 3, 6, 73, 146, 219, 438

GCD(120, 438) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (120) and denominator (438) by 6.

120 ÷ 6/438 ÷ 6 = 20/73

Visual Representation

The diagram below illustrates Simplify 120/438 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`20/73`
Mixed Number Form	`20/73`
Decimal Form	`0.273973`
Percentage	`27.3973%`

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Frequently Asked Questions

What is 120/438 in simplest form?

120/438 simplified to lowest terms is 20/73.

What is the GCD (GCF) of 120 and 438?

The Greatest Common Divisor (GCD) of 120 and 438 is 6.

What are equivalent fractions to 120/438?

Equivalent fractions to 120/438 include 40/146, 60/219, and 80/292.