What is 180/384 Simplified? (Reduce 180/384 to Lowest Terms: 15/32)

Exact Answer

180/384 = 15/32

Simplified Fraction

15/32

Mixed Number

Proper (15/32)

Decimal Value

0.46875

Percentage

46.875%

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Step-by-Step Solution: 180/384 = 15/32

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 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD(180, 384) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (180) and denominator (384) by 12.

180 ÷ 12/384 ÷ 12 = 15/32

Visual Representation

The diagram below illustrates Simplify 180/384 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`15/32`
Mixed Number Form	`15/32`
Decimal Form	`0.46875`
Percentage	`46.875%`

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Frequently Asked Questions

What is 180/384 in simplest form?

180/384 simplified to lowest terms is 15/32.

What is the GCD (GCF) of 180 and 384?

The Greatest Common Divisor (GCD) of 180 and 384 is 12.

What are equivalent fractions to 180/384?

Equivalent fractions to 180/384 include 30/64, 45/96, and 60/128.