Simplify 330/320 to Lowest Terms
330/320 simplified to its lowest terms is 33/32 (or 1.03125 in decimal). See how to reduce 330/320 using Greatest Common Divisor (GCD = 10).
Exact Answer
330/320 = 33/32
Simplified Fraction
33/32
Mixed Number
1 1/32
Decimal Value
1.03125
Percentage
103.125%
Step-by-Step Solution: 330/320 = 33/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 330:
• Factors of 320:
• Factors of 330:
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD(330, 320) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (330) and denominator (320) by 10.
330 ÷ 10/320 ÷ 10 = 33/32
Step 3
Convert Improper Fraction to a Mixed Number
Because 33 is larger than 32, 33/32 can also be written as the mixed number 1 1/32.
33/32 = 11/32
Visual Representation
The diagram below illustrates Simplify 330/320 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 33/32 |
| Mixed Number Form | 1 1/32 |
| Decimal Form | 1.03125 |
| Percentage | 103.125% |
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Frequently Asked Questions
What is 330/320 in simplest form?
330/320 simplified to lowest terms is 33/32.
What is the GCD (GCF) of 330 and 320?
The Greatest Common Divisor (GCD) of 330 and 320 is 10.
What are equivalent fractions to 330/320?
Equivalent fractions to 330/320 include 66/64, 99/96, and 132/128.