Simplify 130/288 to Lowest Terms
130/288 simplified to its lowest terms is 65/144 (or 0.451389 in decimal). See how to reduce 130/288 using Greatest Common Divisor (GCD = 2).
Exact Answer
130/288 = 65/144
Simplified Fraction
65/144
Mixed Number
Proper (65/144)
Decimal Value
0.451389
Percentage
45.1389%
Step-by-Step Solution: 130/288 = 65/144
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 130:
• Factors of 288:
• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(130, 288) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (130) and denominator (288) by 2.
130 ÷ 2/288 ÷ 2 = 65/144
Visual Representation
The diagram below illustrates Simplify 130/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 65/144 |
| Mixed Number Form | 65/144 |
| Decimal Form | 0.451389 |
| Percentage | 45.1389% |
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Frequently Asked Questions
What is 130/288 in simplest form?
130/288 simplified to lowest terms is 65/144.
What is the GCD (GCF) of 130 and 288?
The Greatest Common Divisor (GCD) of 130 and 288 is 2.
What are equivalent fractions to 130/288?
Equivalent fractions to 130/288 include 130/288, 195/432, and 260/576.