Simplify 1024/330 to Lowest Terms
1024/330 simplified to its lowest terms is 512/165 (or 3.10303 in decimal). See how to reduce 1024/330 using Greatest Common Divisor (GCD = 2).
Exact Answer
1024/330 = 512/165
Simplified Fraction
512/165
Mixed Number
3 17/165
Decimal Value
3.10303
Percentage
310.303%
Step-by-Step Solution: 1024/330 = 512/165
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1024:
• Factors of 330:
• Factors of 1024:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024• Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
GCD(1024, 330) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1024) and denominator (330) by 2.
1024 ÷ 2/330 ÷ 2 = 512/165
Step 3
Convert Improper Fraction to a Mixed Number
Because 512 is larger than 165, 512/165 can also be written as the mixed number 3 17/165.
512/165 = 317/165
Visual Representation
The diagram below illustrates Simplify 1024/330 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 512/165 |
| Mixed Number Form | 3 17/165 |
| Decimal Form | 3.10303 |
| Percentage | 310.303% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 1024/330 in simplest form?
1024/330 simplified to lowest terms is 512/165.
What is the GCD (GCF) of 1024 and 330?
The Greatest Common Divisor (GCD) of 1024 and 330 is 2.
What are equivalent fractions to 1024/330?
Equivalent fractions to 1024/330 include 1024/330, 1536/495, and 2048/660.