Simplify 208/802 to Lowest Terms
208/802 simplified to its lowest terms is 104/401 (or 0.259352 in decimal). See how to reduce 208/802 using Greatest Common Divisor (GCD = 2).
Exact Answer
208/802 = 104/401
Simplified Fraction
104/401
Mixed Number
Proper (104/401)
Decimal Value
0.259352
Percentage
25.9352%
Step-by-Step Solution: 208/802 = 104/401
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 208:
• Factors of 802:
• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208• Factors of 802:
1, 2, 401, 802
GCD(208, 802) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (208) and denominator (802) by 2.
208 ÷ 2/802 ÷ 2 = 104/401
Visual Representation
The diagram below illustrates Simplify 208/802 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 104/401 |
| Mixed Number Form | 104/401 |
| Decimal Form | 0.259352 |
| Percentage | 25.9352% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 208/802 in simplest form?
208/802 simplified to lowest terms is 104/401.
What is the GCD (GCF) of 208 and 802?
The Greatest Common Divisor (GCD) of 208 and 802 is 2.
What are equivalent fractions to 208/802?
Equivalent fractions to 208/802 include 208/802, 312/1203, and 416/1604.