Simplify 208/800 to Lowest Terms
208/800 simplified to its lowest terms is 13/50 (or 0.26 in decimal). See how to reduce 208/800 using Greatest Common Divisor (GCD = 16).
Exact Answer
208/800 = 13/50
Simplified Fraction
13/50
Mixed Number
Proper (13/50)
Decimal Value
0.26
Percentage
26%
Step-by-Step Solution: 208/800 = 13/50
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 208:
• Factors of 800:
• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208• Factors of 800:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200
GCD(208, 800) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (208) and denominator (800) by 16.
208 ÷ 16/800 ÷ 16 = 13/50
Visual Representation
The diagram below illustrates Simplify 208/800 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/50 |
| Mixed Number Form | 13/50 |
| Decimal Form | 0.26 |
| Percentage | 26% |
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Frequently Asked Questions
What is 208/800 in simplest form?
208/800 simplified to lowest terms is 13/50.
What is the GCD (GCF) of 208 and 800?
The Greatest Common Divisor (GCD) of 208 and 800 is 16.
What are equivalent fractions to 208/800?
Equivalent fractions to 208/800 include 26/100, 39/150, and 52/200.