Simplify 144/288 to Lowest Terms
144/288 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 144/288 using Greatest Common Divisor (GCD = 144).
Exact Answer
144/288 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 144/288 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 144:
• Factors of 288:
• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(144, 288) = 144
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 144. Divide both the numerator (144) and denominator (288) by 144.
144 ÷ 144/288 ÷ 144 = 1/2
Visual Representation
The diagram below illustrates Simplify 144/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 144/288 in simplest form?
144/288 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 144 and 288?
The Greatest Common Divisor (GCD) of 144 and 288 is 144.
What are equivalent fractions to 144/288?
Equivalent fractions to 144/288 include 2/4, 3/6, and 4/8.