Simplify 320/270 to Lowest Terms
320/270 simplified to its lowest terms is 32/27 (or 1.185185 in decimal). See how to reduce 320/270 using Greatest Common Divisor (GCD = 10).
Exact Answer
320/270 = 32/27
Simplified Fraction
32/27
Mixed Number
1 5/27
Decimal Value
1.185185
Percentage
118.5185%
Step-by-Step Solution: 320/270 = 32/27
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 320:
• Factors of 270:
• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320• Factors of 270:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD(320, 270) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (320) and denominator (270) by 10.
320 ÷ 10/270 ÷ 10 = 32/27
Step 3
Convert Improper Fraction to a Mixed Number
Because 32 is larger than 27, 32/27 can also be written as the mixed number 1 5/27.
32/27 = 15/27
Visual Representation
The diagram below illustrates Simplify 320/270 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 32/27 |
| Mixed Number Form | 1 5/27 |
| Decimal Form | 1.185185 |
| Percentage | 118.5185% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 320/270 in simplest form?
320/270 simplified to lowest terms is 32/27.
What is the GCD (GCF) of 320 and 270?
The Greatest Common Divisor (GCD) of 320 and 270 is 10.
What are equivalent fractions to 320/270?
Equivalent fractions to 320/270 include 64/54, 96/81, and 128/108.