What is 1008/3336 Simplified? (Reduce 1008/3336 to Lowest Terms: 42/139)

Exact Answer

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Problem: Simplify 1008/3336 to Lowest Terms
Formula / Expression: 1008/3336 = 42/139
Final Answer: 42/139
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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 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36
• Factors of 3336: 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336
Working: GCD(1008, 3336) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1008) and denominator (3336) by 24.
Working: 1008 ÷ 24/3336 ÷ 24 = 42/139

Key Values:
- Simplified Fraction: 42/139
- Mixed Number Form: 42/139
- Decimal Value: 0.302158
- Percentage: 30.2158%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1008-3336/
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1008/3336 = 42/139

Simplified Fraction

42/139

Mixed Number

Proper (42/139)

Decimal Value

0.302158

Percentage

30.2158%

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Step-by-Step Solution: 1008/3336 = 42/139

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1008: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36
• Factors of 3336: 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336

GCD(1008, 3336) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1008) and denominator (3336) by 24.

1008 ÷ 24/3336 ÷ 24 = 42/139

Visual Representation

The diagram below illustrates Simplify 1008/3336 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`42/139`
Mixed Number Form	`42/139`
Decimal Form	`0.302158`
Percentage	`30.2158%`

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Frequently Asked Questions

What is 1008/3336 in simplest form?

1008/3336 simplified to lowest terms is 42/139.

What is the GCD (GCF) of 1008 and 3336?

The Greatest Common Divisor (GCD) of 1008 and 3336 is 24.

What are equivalent fractions to 1008/3336?

Equivalent fractions to 1008/3336 include 84/278, 126/417, and 168/556.