Simplify 330/324 to Lowest Terms
330/324 simplified to its lowest terms is 55/54 (or 1.018519 in decimal). See how to reduce 330/324 using Greatest Common Divisor (GCD = 6).
Exact Answer
330/324 = 55/54
Simplified Fraction
55/54
Mixed Number
1 1/54
Decimal Value
1.018519
Percentage
101.8519%
Step-by-Step Solution: 330/324 = 55/54
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 330:
• Factors of 324:
• Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330• Factors of 324:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
GCD(330, 324) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (330) and denominator (324) by 6.
330 ÷ 6/324 ÷ 6 = 55/54
Step 3
Convert Improper Fraction to a Mixed Number
Because 55 is larger than 54, 55/54 can also be written as the mixed number 1 1/54.
55/54 = 11/54
Visual Representation
The diagram below illustrates Simplify 330/324 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 55/54 |
| Mixed Number Form | 1 1/54 |
| Decimal Form | 1.018519 |
| Percentage | 101.8519% |
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Frequently Asked Questions
What is 330/324 in simplest form?
330/324 simplified to lowest terms is 55/54.
What is the GCD (GCF) of 330 and 324?
The Greatest Common Divisor (GCD) of 330 and 324 is 6.
What are equivalent fractions to 330/324?
Equivalent fractions to 330/324 include 110/108, 165/162, and 220/216.