What is 576/402 Simplified? (Reduce 576/402 to Lowest Terms: 96/67)

Exact Answer

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Problem: Simplify 576/402 to Lowest Terms
Formula / Expression: 576/402 = 96/67
Final Answer: 1 29/67 (96/67)
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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 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
• Factors of 402: 1, 2, 3, 6, 67, 134, 201, 402
Working: GCD(576, 402) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (576) and denominator (402) by 6.
Working: 576 ÷ 6/402 ÷ 6 = 96/67

Step 3: Convert Improper Fraction to a Mixed Number
Because 96 is larger than 67, 96/67 can also be written as the mixed number 1 29/67.
Working: 96/67 = 1 29/67

Key Values:
- Simplified Fraction: 96/67
- Mixed Number Form: 1 29/67
- Decimal Value: 1.432836
- Percentage: 143.2836%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-576-402/
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576/402 = 96/67

Simplified Fraction

96/67

Mixed Number

1 29/67

Decimal Value

1.432836

Percentage

143.2836%

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Step-by-Step Solution: 576/402 = 96/67

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 576: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
• Factors of 402: 1, 2, 3, 6, 67, 134, 201, 402

GCD(576, 402) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (576) and denominator (402) by 6.

576 ÷ 6/402 ÷ 6 = 96/67

Step 3

Convert Improper Fraction to a Mixed Number

Because 96 is larger than 67, 96/67 can also be written as the mixed number 1 29/67.

96/67 = 129/67

Visual Representation

The diagram below illustrates Simplify 576/402 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`96/67`
Mixed Number Form	`1 29/67`
Decimal Form	`1.432836`
Percentage	`143.2836%`

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Frequently Asked Questions

What is 576/402 in simplest form?

576/402 simplified to lowest terms is 96/67.

What is the GCD (GCF) of 576 and 402?

The Greatest Common Divisor (GCD) of 576 and 402 is 6.

What are equivalent fractions to 576/402?

Equivalent fractions to 576/402 include 192/134, 288/201, and 384/268.