Simplify 42/208 to Lowest Terms
42/208 simplified to its lowest terms is 21/104 (or 0.201923 in decimal). See how to reduce 42/208 using Greatest Common Divisor (GCD = 2).
Exact Answer
42/208 = 21/104
Simplified Fraction
21/104
Mixed Number
Proper (21/104)
Decimal Value
0.201923
Percentage
20.1923%
Step-by-Step Solution: 42/208 = 21/104
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 208:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(42, 208) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (42) and denominator (208) by 2.
42 ÷ 2/208 ÷ 2 = 21/104
Visual Representation
The diagram below illustrates Simplify 42/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/104 |
| Mixed Number Form | 21/104 |
| Decimal Form | 0.201923 |
| Percentage | 20.1923% |
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Frequently Asked Questions
What is 42/208 in simplest form?
42/208 simplified to lowest terms is 21/104.
What is the GCD (GCF) of 42 and 208?
The Greatest Common Divisor (GCD) of 42 and 208 is 2.
What are equivalent fractions to 42/208?
Equivalent fractions to 42/208 include 42/208, 63/312, and 84/416.