What is 180/424 Simplified? (Reduce 180/424 to Lowest Terms: 45/106)

Exact Answer

180/424 = 45/106

Simplified Fraction

45/106

Mixed Number

Proper (45/106)

Decimal Value

0.424528

Percentage

42.4528%

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Step-by-Step Solution: 180/424 = 45/106

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
• Factors of 424: 1, 2, 4, 8, 53, 106, 212, 424

GCD(180, 424) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (180) and denominator (424) by 4.

180 ÷ 4/424 ÷ 4 = 45/106

Visual Representation

The diagram below illustrates Simplify 180/424 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`45/106`
Mixed Number Form	`45/106`
Decimal Form	`0.424528`
Percentage	`42.4528%`

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Frequently Asked Questions

What is 180/424 in simplest form?

180/424 simplified to lowest terms is 45/106.

What is the GCD (GCF) of 180 and 424?

The Greatest Common Divisor (GCD) of 180 and 424 is 4.

What are equivalent fractions to 180/424?

Equivalent fractions to 180/424 include 90/212, 135/318, and 180/424.