What is 1100/1440 Simplified? (Reduce 1100/1440 to Lowest Terms: 55/72)

Exact Answer

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Problem: Simplify 1100/1440 to Lowest Terms
Formula / Expression: 1100/1440 = 55/72
Final Answer: 55/72
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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 1100: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
Working: GCD(1100, 1440) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1100) and denominator (1440) by 20.
Working: 1100 ÷ 20/1440 ÷ 20 = 55/72

Key Values:
- Simplified Fraction: 55/72
- Mixed Number Form: 55/72
- Decimal Value: 0.763889
- Percentage: 76.3889%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1100-1440/
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1100/1440 = 55/72

Simplified Fraction

55/72

Mixed Number

Proper (55/72)

Decimal Value

0.763889

Percentage

76.3889%

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Step-by-Step Solution: 1100/1440 = 55/72

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1100: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(1100, 1440) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1100) and denominator (1440) by 20.

1100 ÷ 20/1440 ÷ 20 = 55/72

Visual Representation

The diagram below illustrates Simplify 1100/1440 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/72`
Mixed Number Form	`55/72`
Decimal Form	`0.763889`
Percentage	`76.3889%`

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Frequently Asked Questions

What is 1100/1440 in simplest form?

1100/1440 simplified to lowest terms is 55/72.

What is the GCD (GCF) of 1100 and 1440?

The Greatest Common Divisor (GCD) of 1100 and 1440 is 20.

What are equivalent fractions to 1100/1440?

Equivalent fractions to 1100/1440 include 110/144, 165/216, and 220/288.