Simplify 330/308 to Lowest Terms
330/308 simplified to its lowest terms is 15/14 (or 1.071429 in decimal). See how to reduce 330/308 using Greatest Common Divisor (GCD = 22).
Exact Answer
330/308 = 15/14
Simplified Fraction
15/14
Mixed Number
1 1/14
Decimal Value
1.071429
Percentage
107.1429%
Step-by-Step Solution: 330/308 = 15/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 330:
• Factors of 308:
• Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330• Factors of 308:
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
GCD(330, 308) = 22
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 22. Divide both the numerator (330) and denominator (308) by 22.
330 ÷ 22/308 ÷ 22 = 15/14
Step 3
Convert Improper Fraction to a Mixed Number
Because 15 is larger than 14, 15/14 can also be written as the mixed number 1 1/14.
15/14 = 11/14
Visual Representation
The diagram below illustrates Simplify 330/308 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/14 |
| Mixed Number Form | 1 1/14 |
| Decimal Form | 1.071429 |
| Percentage | 107.1429% |
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Frequently Asked Questions
What is 330/308 in simplest form?
330/308 simplified to lowest terms is 15/14.
What is the GCD (GCF) of 330 and 308?
The Greatest Common Divisor (GCD) of 330 and 308 is 22.
What are equivalent fractions to 330/308?
Equivalent fractions to 330/308 include 30/28, 45/42, and 60/56.