Simplify 320/1440 to Lowest Terms
320/1440 simplified to its lowest terms is 2/9 (or 0.222222 in decimal). See how to reduce 320/1440 using Greatest Common Divisor (GCD = 160).
Exact Answer
320/1440 = 2/9
Simplified Fraction
2/9
Mixed Number
Proper (2/9)
Decimal Value
0.222222
Percentage
22.2222%
Step-by-Step Solution: 320/1440 = 2/9
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 320:
• Factors of 1440:
• Factors of 320:
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320• Factors of 1440:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
GCD(320, 1440) = 160
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 160. Divide both the numerator (320) and denominator (1440) by 160.
320 ÷ 160/1440 ÷ 160 = 2/9
Visual Representation
The diagram below illustrates Simplify 320/1440 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/9 |
| Mixed Number Form | 2/9 |
| Decimal Form | 0.222222 |
| Percentage | 22.2222% |
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Frequently Asked Questions
What is 320/1440 in simplest form?
320/1440 simplified to lowest terms is 2/9.
What is the GCD (GCF) of 320 and 1440?
The Greatest Common Divisor (GCD) of 320 and 1440 is 160.
What are equivalent fractions to 320/1440?
Equivalent fractions to 320/1440 include 4/18, 6/27, and 8/36.