What is 1344/1144 Simplified? (Reduce 1344/1144 to Lowest Terms: 168/143)

Exact Answer

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Problem: Simplify 1344/1144 to Lowest Terms
Formula / Expression: 1344/1144 = 168/143
Final Answer: 1 25/143 (168/143)
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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 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144
Working: GCD(1344, 1144) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1344) and denominator (1144) by 8.
Working: 1344 ÷ 8/1144 ÷ 8 = 168/143

Step 3: Convert Improper Fraction to a Mixed Number
Because 168 is larger than 143, 168/143 can also be written as the mixed number 1 25/143.
Working: 168/143 = 1 25/143

Key Values:
- Simplified Fraction: 168/143
- Mixed Number Form: 1 25/143
- Decimal Value: 1.174825
- Percentage: 117.4825%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1344-1144/
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1344/1144 = 168/143

Simplified Fraction

168/143

Mixed Number

1 25/143

Decimal Value

1.174825

Percentage

117.4825%

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Step-by-Step Solution: 1344/1144 = 168/143

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1344: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48
• Factors of 1144: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

GCD(1344, 1144) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1344) and denominator (1144) by 8.

1344 ÷ 8/1144 ÷ 8 = 168/143

Step 3

Convert Improper Fraction to a Mixed Number

Because 168 is larger than 143, 168/143 can also be written as the mixed number 1 25/143.

168/143 = 125/143

Visual Representation

The diagram below illustrates Simplify 1344/1144 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`168/143`
Mixed Number Form	`1 25/143`
Decimal Form	`1.174825`
Percentage	`117.4825%`

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Frequently Asked Questions

What is 1344/1144 in simplest form?

1344/1144 simplified to lowest terms is 168/143.

What is the GCD (GCF) of 1344 and 1144?

The Greatest Common Divisor (GCD) of 1344 and 1144 is 8.

What are equivalent fractions to 1344/1144?

Equivalent fractions to 1344/1144 include 336/286, 504/429, and 672/572.