What is 3008/1434 Simplified? (Reduce 3008/1434 to Lowest Terms: 1504/717)

Exact Answer

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Problem: Simplify 3008/1434 to Lowest Terms
Formula / Expression: 3008/1434 = 1504/717
Final Answer: 2 70/717 (1504/717)
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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 3008: 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008
• Factors of 1434: 1, 2, 3, 6, 239, 478, 717, 1434
Working: GCD(3008, 1434) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (3008) and denominator (1434) by 2.
Working: 3008 ÷ 2/1434 ÷ 2 = 1504/717

Step 3: Convert Improper Fraction to a Mixed Number
Because 1504 is larger than 717, 1504/717 can also be written as the mixed number 2 70/717.
Working: 1504/717 = 2 70/717

Key Values:
- Simplified Fraction: 1504/717
- Mixed Number Form: 2 70/717
- Decimal Value: 2.097629
- Percentage: 209.7629%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-3008-1434/
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3008/1434 = 1504/717

Simplified Fraction

1504/717

Mixed Number

2 70/717

Decimal Value

2.097629

Percentage

209.7629%

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Step-by-Step Solution: 3008/1434 = 1504/717

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 3008: 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008
• Factors of 1434: 1, 2, 3, 6, 239, 478, 717, 1434

GCD(3008, 1434) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (3008) and denominator (1434) by 2.

3008 ÷ 2/1434 ÷ 2 = 1504/717

Step 3

Convert Improper Fraction to a Mixed Number

Because 1504 is larger than 717, 1504/717 can also be written as the mixed number 2 70/717.

1504/717 = 270/717

Visual Representation

The diagram below illustrates Simplify 3008/1434 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`1504/717`
Mixed Number Form	`2 70/717`
Decimal Form	`2.097629`
Percentage	`209.7629%`

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Frequently Asked Questions

What is 3008/1434 in simplest form?

3008/1434 simplified to lowest terms is 1504/717.

What is the GCD (GCF) of 3008 and 1434?

The Greatest Common Divisor (GCD) of 3008 and 1434 is 2.

What are equivalent fractions to 3008/1434?

Equivalent fractions to 3008/1434 include 3008/1434, 4512/2151, and 6016/2868.