What is 1104/2600 Simplified? (Reduce 1104/2600 to Lowest Terms: 138/325)

Exact Answer

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Problem: Simplify 1104/2600 to Lowest Terms
Formula / Expression: 1104/2600 = 138/325
Final Answer: 138/325
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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 2600: 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104
Working: GCD(1104, 2600) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1104) and denominator (2600) by 8.
Working: 1104 ÷ 8/2600 ÷ 8 = 138/325

Key Values:
- Simplified Fraction: 138/325
- Mixed Number Form: 138/325
- Decimal Value: 0.424615
- Percentage: 42.4615%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1104-2600/
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1104/2600 = 138/325

Simplified Fraction

138/325

Mixed Number

Proper (138/325)

Decimal Value

0.424615

Percentage

42.4615%

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Step-by-Step Solution: 1104/2600 = 138/325

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 2600: 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104

GCD(1104, 2600) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1104) and denominator (2600) by 8.

1104 ÷ 8/2600 ÷ 8 = 138/325

Visual Representation

The diagram below illustrates Simplify 1104/2600 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`138/325`
Mixed Number Form	`138/325`
Decimal Form	`0.424615`
Percentage	`42.4615%`

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Frequently Asked Questions

What is 1104/2600 in simplest form?

1104/2600 simplified to lowest terms is 138/325.

What is the GCD (GCF) of 1104 and 2600?

The Greatest Common Divisor (GCD) of 1104 and 2600 is 8.

What are equivalent fractions to 1104/2600?

Equivalent fractions to 1104/2600 include 276/650, 414/975, and 552/1300.