Simplify 78/208 to Lowest Terms
78/208 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 78/208 using Greatest Common Divisor (GCD = 26).
Exact Answer
78/208 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 78/208 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 208:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(78, 208) = 26
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 26. Divide both the numerator (78) and denominator (208) by 26.
78 ÷ 26/208 ÷ 26 = 3/8
Visual Representation
The diagram below illustrates Simplify 78/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 78/208 in simplest form?
78/208 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 78 and 208?
The Greatest Common Divisor (GCD) of 78 and 208 is 26.
What are equivalent fractions to 78/208?
Equivalent fractions to 78/208 include 6/16, 9/24, and 12/32.