What is 300/384 Simplified? (Reduce 300/384 to Lowest Terms: 25/32)

Exact Answer

300/384 = 25/32

Simplified Fraction

25/32

Mixed Number

Proper (25/32)

Decimal Value

0.78125

Percentage

78.125%

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Step-by-Step Solution: 300/384 = 25/32

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD(300, 384) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (300) and denominator (384) by 12.

300 ÷ 12/384 ÷ 12 = 25/32

Visual Representation

The diagram below illustrates Simplify 300/384 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/32`
Mixed Number Form	`25/32`
Decimal Form	`0.78125`
Percentage	`78.125%`

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Frequently Asked Questions

What is 300/384 in simplest form?

300/384 simplified to lowest terms is 25/32.

What is the GCD (GCF) of 300 and 384?

The Greatest Common Divisor (GCD) of 300 and 384 is 12.

What are equivalent fractions to 300/384?

Equivalent fractions to 300/384 include 50/64, 75/96, and 100/128.