What is 1104/2304 Simplified? (Reduce 1104/2304 to Lowest Terms: 23/48)

Exact Answer

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Problem: Simplify 1104/2304 to Lowest Terms
Formula / Expression: 1104/2304 = 23/48
Final Answer: 23/48
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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 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184
• Factors of 2304: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
Working: GCD(1104, 2304) = 48

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 48. Divide both the numerator (1104) and denominator (2304) by 48.
Working: 1104 ÷ 48/2304 ÷ 48 = 23/48

Key Values:
- Simplified Fraction: 23/48
- Mixed Number Form: 23/48
- Decimal Value: 0.479167
- Percentage: 47.9167%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1104-2304/
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1104/2304 = 23/48

Simplified Fraction

23/48

Mixed Number

Proper (23/48)

Decimal Value

0.479167

Percentage

47.9167%

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Step-by-Step Solution: 1104/2304 = 23/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1104: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184
• Factors of 2304: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(1104, 2304) = 48

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 48. Divide both the numerator (1104) and denominator (2304) by 48.

1104 ÷ 48/2304 ÷ 48 = 23/48

Visual Representation

The diagram below illustrates Simplify 1104/2304 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/48`
Mixed Number Form	`23/48`
Decimal Form	`0.479167`
Percentage	`47.9167%`

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Frequently Asked Questions

What is 1104/2304 in simplest form?

1104/2304 simplified to lowest terms is 23/48.

What is the GCD (GCF) of 1104 and 2304?

The Greatest Common Divisor (GCD) of 1104 and 2304 is 48.

What are equivalent fractions to 1104/2304?

Equivalent fractions to 1104/2304 include 46/96, 69/144, and 92/192.