What is 384/90 Simplified? (Reduce 384/90 to Lowest Terms: 64/15)

Exact Answer

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Problem: Simplify 384/90 to Lowest Terms
Formula / Expression: 384/90 = 64/15
Final Answer: 4 4/15 (64/15)
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Step-by-Step Solution:

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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Working: GCD(384, 90) = 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 (90) by 6.
Working: 384 ÷ 6/90 ÷ 6 = 64/15

Step 3: Convert Improper Fraction to a Mixed Number
Because 64 is larger than 15, 64/15 can also be written as the mixed number 4 4/15.
Working: 64/15 = 4 4/15

Key Values:
- Simplified Fraction: 64/15
- Mixed Number Form: 4 4/15
- Decimal Value: 4.266667
- Percentage: 426.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-384-90/
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384/90 = 64/15

Simplified Fraction

64/15

Mixed Number

4 4/15

Decimal Value

4.266667

Percentage

426.6667%

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Step-by-Step Solution: 384/90 = 64/15

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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

GCD(384, 90) = 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 (90) by 6.

384 ÷ 6/90 ÷ 6 = 64/15

Step 3

Convert Improper Fraction to a Mixed Number

Because 64 is larger than 15, 64/15 can also be written as the mixed number 4 4/15.

64/15 = 44/15

Visual Representation

The diagram below illustrates Simplify 384/90 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`64/15`
Mixed Number Form	`4 4/15`
Decimal Form	`4.266667`
Percentage	`426.6667%`

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Frequently Asked Questions

What is 384/90 in simplest form?

384/90 simplified to lowest terms is 64/15.

What is the GCD (GCF) of 384 and 90?

The Greatest Common Divisor (GCD) of 384 and 90 is 6.

What are equivalent fractions to 384/90?

Equivalent fractions to 384/90 include 128/30, 192/45, and 256/60.