What is 180/400 Simplified? (Reduce 180/400 to Lowest Terms: 9/20)

Exact Answer

180/400 = 9/20

Simplified Fraction

9/20

Mixed Number

Proper (9/20)

Decimal Value

0.45

Percentage

45%

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Step-by-Step Solution: 180/400 = 9/20

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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD(180, 400) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (180) and denominator (400) by 20.

180 ÷ 20/400 ÷ 20 = 9/20

Visual Representation

The diagram below illustrates Simplify 180/400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`9/20`
Mixed Number Form	`9/20`
Decimal Form	`0.45`
Percentage	`45%`

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Frequently Asked Questions

What is 180/400 in simplest form?

180/400 simplified to lowest terms is 9/20.

What is the GCD (GCF) of 180 and 400?

The Greatest Common Divisor (GCD) of 180 and 400 is 20.

What are equivalent fractions to 180/400?

Equivalent fractions to 180/400 include 18/40, 27/60, and 36/80.