What is 180/642 Simplified? (Reduce 180/642 to Lowest Terms: 30/107)

Exact Answer

180/642 = 30/107

Simplified Fraction

30/107

Mixed Number

Proper (30/107)

Decimal Value

0.280374

Percentage

28.0374%

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Step-by-Step Solution: 180/642 = 30/107

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 642: 1, 2, 3, 6, 107, 214, 321, 642

GCD(180, 642) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (180) and denominator (642) by 6.

180 ÷ 6/642 ÷ 6 = 30/107

Visual Representation

The diagram below illustrates Simplify 180/642 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`30/107`
Mixed Number Form	`30/107`
Decimal Form	`0.280374`
Percentage	`28.0374%`

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Frequently Asked Questions

What is 180/642 in simplest form?

180/642 simplified to lowest terms is 30/107.

What is the GCD (GCF) of 180 and 642?

The Greatest Common Divisor (GCD) of 180 and 642 is 6.

What are equivalent fractions to 180/642?

Equivalent fractions to 180/642 include 60/214, 90/321, and 120/428.