Simplify 330/960 to Lowest Terms
330/960 simplified to its lowest terms is 11/32 (or 0.34375 in decimal). See how to reduce 330/960 using Greatest Common Divisor (GCD = 30).
Exact Answer
330/960 = 11/32
Simplified Fraction
11/32
Mixed Number
Proper (11/32)
Decimal Value
0.34375
Percentage
34.375%
Step-by-Step Solution: 330/960 = 11/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 330:
• Factors of 960:
• Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330• Factors of 960:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
GCD(330, 960) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (330) and denominator (960) by 30.
330 ÷ 30/960 ÷ 30 = 11/32
Visual Representation
The diagram below illustrates Simplify 330/960 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/32 |
| Mixed Number Form | 11/32 |
| Decimal Form | 0.34375 |
| Percentage | 34.375% |
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Frequently Asked Questions
What is 330/960 in simplest form?
330/960 simplified to lowest terms is 11/32.
What is the GCD (GCF) of 330 and 960?
The Greatest Common Divisor (GCD) of 330 and 960 is 30.
What are equivalent fractions to 330/960?
Equivalent fractions to 330/960 include 22/64, 33/96, and 44/128.