What is 1008/3488 Simplified? (Reduce 1008/3488 to Lowest Terms: 63/218)

Exact Answer

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Problem: Simplify 1008/3488 to Lowest Terms
Formula / Expression: 1008/3488 = 63/218
Final Answer: 63/218
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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 3488: 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488
Working: GCD(1008, 3488) = 16

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (1008) and denominator (3488) by 16.
Working: 1008 ÷ 16/3488 ÷ 16 = 63/218

Key Values:
- Simplified Fraction: 63/218
- Mixed Number Form: 63/218
- Decimal Value: 0.288991
- Percentage: 28.8991%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1008-3488/
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1008/3488 = 63/218

Simplified Fraction

63/218

Mixed Number

Proper (63/218)

Decimal Value

0.288991

Percentage

28.8991%

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Step-by-Step Solution: 1008/3488 = 63/218

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 3488: 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488

GCD(1008, 3488) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (1008) and denominator (3488) by 16.

1008 ÷ 16/3488 ÷ 16 = 63/218

Visual Representation

The diagram below illustrates Simplify 1008/3488 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`63/218`
Mixed Number Form	`63/218`
Decimal Form	`0.288991`
Percentage	`28.8991%`

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Frequently Asked Questions

What is 1008/3488 in simplest form?

1008/3488 simplified to lowest terms is 63/218.

What is the GCD (GCF) of 1008 and 3488?

The Greatest Common Divisor (GCD) of 1008 and 3488 is 16.

What are equivalent fractions to 1008/3488?

Equivalent fractions to 1008/3488 include 126/436, 189/654, and 252/872.