Simplify 260/288 to Lowest Terms
260/288 simplified to its lowest terms is 65/72 (or 0.902778 in decimal). See how to reduce 260/288 using Greatest Common Divisor (GCD = 4).
Exact Answer
260/288 = 65/72
Simplified Fraction
65/72
Mixed Number
Proper (65/72)
Decimal Value
0.902778
Percentage
90.2778%
Step-by-Step Solution: 260/288 = 65/72
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 260:
• Factors of 288:
• Factors of 260:
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(260, 288) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (260) and denominator (288) by 4.
260 ÷ 4/288 ÷ 4 = 65/72
Visual Representation
The diagram below illustrates Simplify 260/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 65/72 |
| Mixed Number Form | 65/72 |
| Decimal Form | 0.902778 |
| Percentage | 90.2778% |
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Frequently Asked Questions
What is 260/288 in simplest form?
260/288 simplified to lowest terms is 65/72.
What is the GCD (GCF) of 260 and 288?
The Greatest Common Divisor (GCD) of 260 and 288 is 4.
What are equivalent fractions to 260/288?
Equivalent fractions to 260/288 include 130/144, 195/216, and 260/288.