What is 384/450 Simplified? (Reduce 384/450 to Lowest Terms: 64/75)

Exact Answer

384/450 = 64/75

Simplified Fraction

64/75

Mixed Number

Proper (64/75)

Decimal Value

0.853333

Percentage

85.3333%

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Step-by-Step Solution: 384/450 = 64/75

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 384: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
• Factors of 450: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150

GCD(384, 450) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (384) and denominator (450) by 6.

384 ÷ 6/450 ÷ 6 = 64/75

Visual Representation

The diagram below illustrates Simplify 384/450 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`64/75`
Mixed Number Form	`64/75`
Decimal Form	`0.853333`
Percentage	`85.3333%`

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Frequently Asked Questions

What is 384/450 in simplest form?

384/450 simplified to lowest terms is 64/75.

What is the GCD (GCF) of 384 and 450?

The Greatest Common Divisor (GCD) of 384 and 450 is 6.

What are equivalent fractions to 384/450?

Equivalent fractions to 384/450 include 128/150, 192/225, and 256/300.