What is 144/138 Simplified? (Reduce 144/138 to Lowest Terms: 24/23)

Exact Answer

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Problem: Simplify 144/138 to Lowest Terms
Formula / Expression: 144/138 = 24/23
Final Answer: 1 1/23 (24/23)
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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 138: 1, 2, 3, 6, 23, 46, 69, 138
Working: GCD(144, 138) = 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 (138) by 6.
Working: 144 ÷ 6/138 ÷ 6 = 24/23

Step 3: Convert Improper Fraction to a Mixed Number
Because 24 is larger than 23, 24/23 can also be written as the mixed number 1 1/23.
Working: 24/23 = 1 1/23

Key Values:
- Simplified Fraction: 24/23
- Mixed Number Form: 1 1/23
- Decimal Value: 1.043478
- Percentage: 104.3478%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-144-138/
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144/138 = 24/23

Simplified Fraction

24/23

Mixed Number

1 1/23

Decimal Value

1.043478

Percentage

104.3478%

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Step-by-Step Solution: 144/138 = 24/23

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 138: 1, 2, 3, 6, 23, 46, 69, 138

GCD(144, 138) = 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 (138) by 6.

144 ÷ 6/138 ÷ 6 = 24/23

Step 3

Convert Improper Fraction to a Mixed Number

Because 24 is larger than 23, 24/23 can also be written as the mixed number 1 1/23.

24/23 = 11/23

Visual Representation

The diagram below illustrates Simplify 144/138 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24/23`
Mixed Number Form	`1 1/23`
Decimal Form	`1.043478`
Percentage	`104.3478%`

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Frequently Asked Questions

What is 144/138 in simplest form?

144/138 simplified to lowest terms is 24/23.

What is the GCD (GCF) of 144 and 138?

The Greatest Common Divisor (GCD) of 144 and 138 is 6.

What are equivalent fractions to 144/138?

Equivalent fractions to 144/138 include 48/46, 72/69, and 96/92.