What is 1104/3520 Simplified? (Reduce 1104/3520 to Lowest Terms: 69/220)

Exact Answer

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Problem: Simplify 1104/3520 to Lowest Terms
Formula / Expression: 1104/3520 = 69/220
Final Answer: 69/220
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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 3520: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80
Working: GCD(1104, 3520) = 16

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (1104) and denominator (3520) by 16.
Working: 1104 ÷ 16/3520 ÷ 16 = 69/220

Key Values:
- Simplified Fraction: 69/220
- Mixed Number Form: 69/220
- Decimal Value: 0.313636
- Percentage: 31.3636%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1104-3520/
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1104/3520 = 69/220

Simplified Fraction

69/220

Mixed Number

Proper (69/220)

Decimal Value

0.313636

Percentage

31.3636%

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Step-by-Step Solution: 1104/3520 = 69/220

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 3520: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80

GCD(1104, 3520) = 16

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 16. Divide both the numerator (1104) and denominator (3520) by 16.

1104 ÷ 16/3520 ÷ 16 = 69/220

Visual Representation

The diagram below illustrates Simplify 1104/3520 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/220`
Mixed Number Form	`69/220`
Decimal Form	`0.313636`
Percentage	`31.3636%`

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Frequently Asked Questions

What is 1104/3520 in simplest form?

1104/3520 simplified to lowest terms is 69/220.

What is the GCD (GCF) of 1104 and 3520?

The Greatest Common Divisor (GCD) of 1104 and 3520 is 16.

What are equivalent fractions to 1104/3520?

Equivalent fractions to 1104/3520 include 138/440, 207/660, and 276/880.