What is 1104/1440 Simplified? (Reduce 1104/1440 to Lowest Terms: 23/30)

Exact Answer

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Problem: Simplify 1104/1440 to Lowest Terms
Formula / Expression: 1104/1440 = 23/30
Final Answer: 23/30
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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 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
Working: GCD(1104, 1440) = 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 (1440) by 48.
Working: 1104 ÷ 48/1440 ÷ 48 = 23/30

Key Values:
- Simplified Fraction: 23/30
- Mixed Number Form: 23/30
- Decimal Value: 0.766667
- Percentage: 76.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1104-1440/
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1104/1440 = 23/30

Simplified Fraction

23/30

Mixed Number

Proper (23/30)

Decimal Value

0.766667

Percentage

76.6667%

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Step-by-Step Solution: 1104/1440 = 23/30

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 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(1104, 1440) = 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 (1440) by 48.

1104 ÷ 48/1440 ÷ 48 = 23/30

Visual Representation

The diagram below illustrates Simplify 1104/1440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/30`
Mixed Number Form	`23/30`
Decimal Form	`0.766667`
Percentage	`76.6667%`

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Frequently Asked Questions

What is 1104/1440 in simplest form?

1104/1440 simplified to lowest terms is 23/30.

What is the GCD (GCF) of 1104 and 1440?

The Greatest Common Divisor (GCD) of 1104 and 1440 is 48.

What are equivalent fractions to 1104/1440?

Equivalent fractions to 1104/1440 include 46/60, 69/90, and 92/120.