What is 180/690 Simplified? (Reduce 180/690 to Lowest Terms: 6/23)

Exact Answer

180/690 = 6/23

Simplified Fraction

6/23

Mixed Number

Proper (6/23)

Decimal Value

0.26087

Percentage

26.087%

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Step-by-Step Solution: 180/690 = 6/23

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 690: 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD(180, 690) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (180) and denominator (690) by 30.

180 ÷ 30/690 ÷ 30 = 6/23

Visual Representation

The diagram below illustrates Simplify 180/690 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`6/23`
Mixed Number Form	`6/23`
Decimal Form	`0.26087`
Percentage	`26.087%`

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Frequently Asked Questions

What is 180/690 in simplest form?

180/690 simplified to lowest terms is 6/23.

What is the GCD (GCF) of 180 and 690?

The Greatest Common Divisor (GCD) of 180 and 690 is 30.

What are equivalent fractions to 180/690?

Equivalent fractions to 180/690 include 12/46, 18/69, and 24/92.