Simplify 324/320 to Lowest Terms
324/320 simplified to its lowest terms is 81/80 (or 1.0125 in decimal). See how to reduce 324/320 using Greatest Common Divisor (GCD = 4).
Exact Answer
324/320 = 81/80
Simplified Fraction
81/80
Mixed Number
1 1/80
Decimal Value
1.0125
Percentage
101.25%
Step-by-Step Solution: 324/320 = 81/80
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 324:
• Factors of 320:
• Factors of 324:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD(324, 320) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (324) and denominator (320) by 4.
324 ÷ 4/320 ÷ 4 = 81/80
Step 3
Convert Improper Fraction to a Mixed Number
Because 81 is larger than 80, 81/80 can also be written as the mixed number 1 1/80.
81/80 = 11/80
Visual Representation
The diagram below illustrates Simplify 324/320 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 81/80 |
| Mixed Number Form | 1 1/80 |
| Decimal Form | 1.0125 |
| Percentage | 101.25% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 324/320 in simplest form?
324/320 simplified to lowest terms is 81/80.
What is the GCD (GCF) of 324 and 320?
The Greatest Common Divisor (GCD) of 324 and 320 is 4.
What are equivalent fractions to 324/320?
Equivalent fractions to 324/320 include 162/160, 243/240, and 324/320.