What is 1100/1144 Simplified? (Reduce 1100/1144 to Lowest Terms: 25/26)

Exact Answer

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Problem: Simplify 1100/1144 to Lowest Terms
Formula / Expression: 1100/1144 = 25/26
Final Answer: 25/26
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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 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
Working: GCD(1100, 1144) = 44

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 44. Divide both the numerator (1100) and denominator (1144) by 44.
Working: 1100 ÷ 44/1144 ÷ 44 = 25/26

Key Values:
- Simplified Fraction: 25/26
- Mixed Number Form: 25/26
- Decimal Value: 0.961538
- Percentage: 96.1538%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1100-1144/
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1100/1144 = 25/26

Simplified Fraction

25/26

Mixed Number

Proper (25/26)

Decimal Value

0.961538

Percentage

96.1538%

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Step-by-Step Solution: 1100/1144 = 25/26

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 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

GCD(1100, 1144) = 44

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 44. Divide both the numerator (1100) and denominator (1144) by 44.

1100 ÷ 44/1144 ÷ 44 = 25/26

Visual Representation

The diagram below illustrates Simplify 1100/1144 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/26`
Mixed Number Form	`25/26`
Decimal Form	`0.961538`
Percentage	`96.1538%`

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Frequently Asked Questions

What is 1100/1144 in simplest form?

1100/1144 simplified to lowest terms is 25/26.

What is the GCD (GCF) of 1100 and 1144?

The Greatest Common Divisor (GCD) of 1100 and 1144 is 44.

What are equivalent fractions to 1100/1144?

Equivalent fractions to 1100/1144 include 50/52, 75/78, and 100/104.