Simplify 288/204 to Lowest Terms
288/204 simplified to its lowest terms is 24/17 (or 1.411765 in decimal). See how to reduce 288/204 using Greatest Common Divisor (GCD = 12).
Exact Answer
288/204 = 24/17
Simplified Fraction
24/17
Mixed Number
1 7/17
Decimal Value
1.411765
Percentage
141.1765%
Step-by-Step Solution: 288/204 = 24/17
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 288:
• Factors of 204:
• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96• Factors of 204:
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD(288, 204) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (288) and denominator (204) by 12.
288 ÷ 12/204 ÷ 12 = 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 288/204 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 288/204 in simplest form?
288/204 simplified to lowest terms is 24/17.
What is the GCD (GCF) of 288 and 204?
The Greatest Common Divisor (GCD) of 288 and 204 is 12.
What are equivalent fractions to 288/204?
Equivalent fractions to 288/204 include 48/34, 72/51, and 96/68.