Simplify 144/300 to Lowest Terms
144/300 simplified to its lowest terms is 12/25 (or 0.48 in decimal). See how to reduce 144/300 using Greatest Common Divisor (GCD = 12).
Exact Answer
144/300 = 12/25
Simplified Fraction
12/25
Mixed Number
Proper (12/25)
Decimal Value
0.48
Percentage
48%
Step-by-Step Solution: 144/300 = 12/25
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 144:
• Factors of 300:
• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(144, 300) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (144) and denominator (300) by 12.
144 ÷ 12/300 ÷ 12 = 12/25
Visual Representation
The diagram below illustrates Simplify 144/300 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/25 |
| Mixed Number Form | 12/25 |
| Decimal Form | 0.48 |
| Percentage | 48% |
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Frequently Asked Questions
What is 144/300 in simplest form?
144/300 simplified to lowest terms is 12/25.
What is the GCD (GCF) of 144 and 300?
The Greatest Common Divisor (GCD) of 144 and 300 is 12.
What are equivalent fractions to 144/300?
Equivalent fractions to 144/300 include 24/50, 36/75, and 48/100.