Simplify 180/330 to Lowest Terms
180/330 simplified to its lowest terms is 6/11 (or 0.545455 in decimal). See how to reduce 180/330 using Greatest Common Divisor (GCD = 30).
Exact Answer
180/330 = 6/11
Simplified Fraction
6/11
Mixed Number
Proper (6/11)
Decimal Value
0.545455
Percentage
54.5455%
Step-by-Step Solution: 180/330 = 6/11
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 180:
โข Factors of 330:
โข Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60โข Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
GCD(180, 330) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (180) and denominator (330) by 30.
180 รท 30/330 รท 30 = 6/11
Visual Representation
The diagram below illustrates Simplify 180/330 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/11 |
| Mixed Number Form | 6/11 |
| Decimal Form | 0.545455 |
| Percentage | 54.5455% |
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Frequently Asked Questions
What is 180/330 in simplest form?
180/330 simplified to lowest terms is 6/11.
What is the GCD (GCF) of 180 and 330?
The Greatest Common Divisor (GCD) of 180 and 330 is 30.
What are equivalent fractions to 180/330?
Equivalent fractions to 180/330 include 12/22, 18/33, and 24/44.