Simplify 288/1280 to Lowest Terms
288/1280 simplified to its lowest terms is 9/40 (or 0.225 in decimal). See how to reduce 288/1280 using Greatest Common Divisor (GCD = 32).
Exact Answer
288/1280 = 9/40
Simplified Fraction
9/40
Mixed Number
Proper (9/40)
Decimal Value
0.225
Percentage
22.5%
Step-by-Step Solution: 288/1280 = 9/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 288:
• Factors of 1280:
• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96• Factors of 1280:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320
GCD(288, 1280) = 32
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 32. Divide both the numerator (288) and denominator (1280) by 32.
288 ÷ 32/1280 ÷ 32 = 9/40
Visual Representation
The diagram below illustrates Simplify 288/1280 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/40 |
| Mixed Number Form | 9/40 |
| Decimal Form | 0.225 |
| Percentage | 22.5% |
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Frequently Asked Questions
What is 288/1280 in simplest form?
288/1280 simplified to lowest terms is 9/40.
What is the GCD (GCF) of 288 and 1280?
The Greatest Common Divisor (GCD) of 288 and 1280 is 32.
What are equivalent fractions to 288/1280?
Equivalent fractions to 288/1280 include 18/80, 27/120, and 36/160.