What is 408/1104 Simplified? (Reduce 408/1104 to Lowest Terms: 17/46)

Exact Answer

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Problem: Simplify 408/1104 to Lowest Terms
Formula / Expression: 408/1104 = 17/46
Final Answer: 17/46
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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 408: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
• Factors of 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184
Working: GCD(408, 1104) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (408) and denominator (1104) by 24.
Working: 408 ÷ 24/1104 ÷ 24 = 17/46

Key Values:
- Simplified Fraction: 17/46
- Mixed Number Form: 17/46
- Decimal Value: 0.369565
- Percentage: 36.9565%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-408-1104/
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408/1104 = 17/46

Simplified Fraction

17/46

Mixed Number

Proper (17/46)

Decimal Value

0.369565

Percentage

36.9565%

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Step-by-Step Solution: 408/1104 = 17/46

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 408: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
• Factors of 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184

GCD(408, 1104) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (408) and denominator (1104) by 24.

408 ÷ 24/1104 ÷ 24 = 17/46

Visual Representation

The diagram below illustrates Simplify 408/1104 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/46`
Mixed Number Form	`17/46`
Decimal Form	`0.369565`
Percentage	`36.9565%`

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Frequently Asked Questions

What is 408/1104 in simplest form?

408/1104 simplified to lowest terms is 17/46.

What is the GCD (GCF) of 408 and 1104?

The Greatest Common Divisor (GCD) of 408 and 1104 is 24.

What are equivalent fractions to 408/1104?

Equivalent fractions to 408/1104 include 34/92, 51/138, and 68/184.