What is 1104/3360 Simplified? (Reduce 1104/3360 to Lowest Terms: 23/70)

Exact Answer

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Problem: Simplify 1104/3360 to Lowest Terms
Formula / Expression: 1104/3360 = 23/70
Final Answer: 23/70
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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 3360: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
Working: GCD(1104, 3360) = 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 (3360) by 48.
Working: 1104 ÷ 48/3360 ÷ 48 = 23/70

Key Values:
- Simplified Fraction: 23/70
- Mixed Number Form: 23/70
- Decimal Value: 0.328571
- Percentage: 32.8571%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1104-3360/
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1104/3360 = 23/70

Simplified Fraction

23/70

Mixed Number

Proper (23/70)

Decimal Value

0.328571

Percentage

32.8571%

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Step-by-Step Solution: 1104/3360 = 23/70

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 3360: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24

GCD(1104, 3360) = 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 (3360) by 48.

1104 ÷ 48/3360 ÷ 48 = 23/70

Visual Representation

The diagram below illustrates Simplify 1104/3360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/70`
Mixed Number Form	`23/70`
Decimal Form	`0.328571`
Percentage	`32.8571%`

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Frequently Asked Questions

What is 1104/3360 in simplest form?

1104/3360 simplified to lowest terms is 23/70.

What is the GCD (GCF) of 1104 and 3360?

The Greatest Common Divisor (GCD) of 1104 and 3360 is 48.

What are equivalent fractions to 1104/3360?

Equivalent fractions to 1104/3360 include 46/140, 69/210, and 92/280.