Simplify 144/102 to Lowest Terms
144/102 simplified to its lowest terms is 24/17 (or 1.411765 in decimal). See how to reduce 144/102 using Greatest Common Divisor (GCD = 6).
Exact Answer
144/102 = 24/17
Simplified Fraction
24/17
Mixed Number
1 7/17
Decimal Value
1.411765
Percentage
141.1765%
Step-by-Step Solution: 144/102 = 24/17
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 144:
• Factors of 102:
• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144• Factors of 102:
1, 2, 3, 6, 17, 34, 51, 102
GCD(144, 102) = 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 (102) by 6.
144 ÷ 6/102 ÷ 6 = 24/17
Step 3
Convert Improper Fraction to a Mixed Number
Because 24 is larger than 17, 24/17 can also be written as the mixed number 1 7/17.
24/17 = 17/17
Visual Representation
The diagram below illustrates Simplify 144/102 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 24/17 |
| Mixed Number Form | 1 7/17 |
| Decimal Form | 1.411765 |
| Percentage | 141.1765% |
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Frequently Asked Questions
What is 144/102 in simplest form?
144/102 simplified to lowest terms is 24/17.
What is the GCD (GCF) of 144 and 102?
The Greatest Common Divisor (GCD) of 144 and 102 is 6.
What are equivalent fractions to 144/102?
Equivalent fractions to 144/102 include 48/34, 72/51, and 96/68.