Simplify 80/360 to Lowest Terms
80/360 simplified to its lowest terms is 2/9 (or 0.222222 in decimal). See how to reduce 80/360 using Greatest Common Divisor (GCD = 40).
Exact Answer
80/360 = 2/9
Simplified Fraction
2/9
Mixed Number
Proper (2/9)
Decimal Value
0.222222
Percentage
22.2222%
Step-by-Step Solution: 80/360 = 2/9
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 80:
• Factors of 360:
• Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
GCD(80, 360) = 40
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 40. Divide both the numerator (80) and denominator (360) by 40.
80 ÷ 40/360 ÷ 40 = 2/9
Visual Representation
The diagram below illustrates Simplify 80/360 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 80/360 in simplest form?
80/360 simplified to lowest terms is 2/9.
What is the GCD (GCF) of 80 and 360?
The Greatest Common Divisor (GCD) of 80 and 360 is 40.
What are equivalent fractions to 80/360?
Equivalent fractions to 80/360 include 4/18, 6/27, and 8/36.