Simplify 288/270 to Lowest Terms
288/270 simplified to its lowest terms is 16/15 (or 1.066667 in decimal). See how to reduce 288/270 using Greatest Common Divisor (GCD = 18).
Exact Answer
288/270 = 16/15
Simplified Fraction
16/15
Mixed Number
1 1/15
Decimal Value
1.066667
Percentage
106.6667%
Step-by-Step Solution: 288/270 = 16/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 288:
• Factors of 270:
• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96• Factors of 270:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD(288, 270) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (288) and denominator (270) by 18.
288 ÷ 18/270 ÷ 18 = 16/15
Step 3
Convert Improper Fraction to a Mixed Number
Because 16 is larger than 15, 16/15 can also be written as the mixed number 1 1/15.
16/15 = 11/15
Visual Representation
The diagram below illustrates Simplify 288/270 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/15 |
| Mixed Number Form | 1 1/15 |
| Decimal Form | 1.066667 |
| Percentage | 106.6667% |
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Frequently Asked Questions
What is 288/270 in simplest form?
288/270 simplified to lowest terms is 16/15.
What is the GCD (GCF) of 288 and 270?
The Greatest Common Divisor (GCD) of 288 and 270 is 18.
What are equivalent fractions to 288/270?
Equivalent fractions to 288/270 include 32/30, 48/45, and 64/60.