Simplify 328/320 to Lowest Terms
328/320 simplified to its lowest terms is 41/40 (or 1.025 in decimal). See how to reduce 328/320 using Greatest Common Divisor (GCD = 8).
Exact Answer
328/320 = 41/40
Simplified Fraction
41/40
Mixed Number
1 1/40
Decimal Value
1.025
Percentage
102.5%
Step-by-Step Solution: 328/320 = 41/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 328:
• Factors of 320:
• Factors of 328:
1, 2, 4, 8, 41, 82, 164, 328• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD(328, 320) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (328) and denominator (320) by 8.
328 ÷ 8/320 ÷ 8 = 41/40
Step 3
Convert Improper Fraction to a Mixed Number
Because 41 is larger than 40, 41/40 can also be written as the mixed number 1 1/40.
41/40 = 11/40
Visual Representation
The diagram below illustrates Simplify 328/320 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/40 |
| Mixed Number Form | 1 1/40 |
| Decimal Form | 1.025 |
| Percentage | 102.5% |
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Frequently Asked Questions
What is 328/320 in simplest form?
328/320 simplified to lowest terms is 41/40.
What is the GCD (GCF) of 328 and 320?
The Greatest Common Divisor (GCD) of 328 and 320 is 8.
What are equivalent fractions to 328/320?
Equivalent fractions to 328/320 include 82/80, 123/120, and 164/160.