Simplify 324/960 to Lowest Terms
324/960 simplified to its lowest terms is 27/80 (or 0.3375 in decimal). See how to reduce 324/960 using Greatest Common Divisor (GCD = 12).
Exact Answer
324/960 = 27/80
Simplified Fraction
27/80
Mixed Number
Proper (27/80)
Decimal Value
0.3375
Percentage
33.75%
Step-by-Step Solution: 324/960 = 27/80
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 324:
• Factors of 960:
• Factors of 324:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324• Factors of 960:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40
GCD(324, 960) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (324) and denominator (960) by 12.
324 ÷ 12/960 ÷ 12 = 27/80
Visual Representation
The diagram below illustrates Simplify 324/960 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 27/80 |
| Mixed Number Form | 27/80 |
| Decimal Form | 0.3375 |
| Percentage | 33.75% |
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Frequently Asked Questions
What is 324/960 in simplest form?
324/960 simplified to lowest terms is 27/80.
What is the GCD (GCF) of 324 and 960?
The Greatest Common Divisor (GCD) of 324 and 960 is 12.
What are equivalent fractions to 324/960?
Equivalent fractions to 324/960 include 54/160, 81/240, and 108/320.