Simplify 80/208 to Lowest Terms
80/208 simplified to its lowest terms is 5/13 (or 0.384615 in decimal). See how to reduce 80/208 using Greatest Common Divisor (GCD = 16).
Exact Answer
80/208 = 5/13
Simplified Fraction
5/13
Mixed Number
Proper (5/13)
Decimal Value
0.384615
Percentage
38.4615%
Step-by-Step Solution: 80/208 = 5/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 80:
• Factors of 208:
• Factors of 80:
1, 2, 4, 5, 8, 10, 16, 20, 40, 80• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(80, 208) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (80) and denominator (208) by 16.
80 ÷ 16/208 ÷ 16 = 5/13
Visual Representation
The diagram below illustrates Simplify 80/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/13 |
| Mixed Number Form | 5/13 |
| Decimal Form | 0.384615 |
| Percentage | 38.4615% |
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Frequently Asked Questions
What is 80/208 in simplest form?
80/208 simplified to lowest terms is 5/13.
What is the GCD (GCF) of 80 and 208?
The Greatest Common Divisor (GCD) of 80 and 208 is 16.
What are equivalent fractions to 80/208?
Equivalent fractions to 80/208 include 10/26, 15/39, and 20/52.