What is 144/66 Simplified? (Reduce 144/66 to Lowest Terms: 24/11)

Exact Answer

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Problem: Simplify 144/66 to Lowest Terms
Formula / Expression: 144/66 = 24/11
Final Answer: 2 2/11 (24/11)
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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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66
Working: GCD(144, 66) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (144) and denominator (66) by 6.
Working: 144 ÷ 6/66 ÷ 6 = 24/11

Step 3: Convert Improper Fraction to a Mixed Number
Because 24 is larger than 11, 24/11 can also be written as the mixed number 2 2/11.
Working: 24/11 = 2 2/11

Key Values:
- Simplified Fraction: 24/11
- Mixed Number Form: 2 2/11
- Decimal Value: 2.181818
- Percentage: 218.1818%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-144-66/
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144/66 = 24/11

Simplified Fraction

24/11

Mixed Number

2 2/11

Decimal Value

2.181818

Percentage

218.1818%

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Step-by-Step Solution: 144/66 = 24/11

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

GCD(144, 66) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (144) and denominator (66) by 6.

144 ÷ 6/66 ÷ 6 = 24/11

Step 3

Convert Improper Fraction to a Mixed Number

Because 24 is larger than 11, 24/11 can also be written as the mixed number 2 2/11.

24/11 = 22/11

Visual Representation

The diagram below illustrates Simplify 144/66 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24/11`
Mixed Number Form	`2 2/11`
Decimal Form	`2.181818`
Percentage	`218.1818%`

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Frequently Asked Questions

What is 144/66 in simplest form?

144/66 simplified to lowest terms is 24/11.

What is the GCD (GCF) of 144 and 66?

The Greatest Common Divisor (GCD) of 144 and 66 is 6.

What are equivalent fractions to 144/66?

Equivalent fractions to 144/66 include 48/22, 72/33, and 96/44.