What is 1100/1344 Simplified? (Reduce 1100/1344 to Lowest Terms: 275/336)

Exact Answer

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Problem: Simplify 1100/1344 to Lowest Terms
Formula / Expression: 1100/1344 = 275/336
Final Answer: 275/336
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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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
Working: GCD(1100, 1344) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1100) and denominator (1344) by 4.
Working: 1100 ÷ 4/1344 ÷ 4 = 275/336

Key Values:
- Simplified Fraction: 275/336
- Mixed Number Form: 275/336
- Decimal Value: 0.818452
- Percentage: 81.8452%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1100-1344/
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1100/1344 = 275/336

Simplified Fraction

275/336

Mixed Number

Proper (275/336)

Decimal Value

0.818452

Percentage

81.8452%

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Step-by-Step Solution: 1100/1344 = 275/336

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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48

GCD(1100, 1344) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1100) and denominator (1344) by 4.

1100 ÷ 4/1344 ÷ 4 = 275/336

Visual Representation

The diagram below illustrates Simplify 1100/1344 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`275/336`
Mixed Number Form	`275/336`
Decimal Form	`0.818452`
Percentage	`81.8452%`

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Frequently Asked Questions

What is 1100/1344 in simplest form?

1100/1344 simplified to lowest terms is 275/336.

What is the GCD (GCF) of 1100 and 1344?

The Greatest Common Divisor (GCD) of 1100 and 1344 is 4.

What are equivalent fractions to 1100/1344?

Equivalent fractions to 1100/1344 include 550/672, 825/1008, and 1100/1344.