Simplify 84/208 to Lowest Terms
84/208 simplified to its lowest terms is 21/52 (or 0.403846 in decimal). See how to reduce 84/208 using Greatest Common Divisor (GCD = 4).
Exact Answer
84/208 = 21/52
Simplified Fraction
21/52
Mixed Number
Proper (21/52)
Decimal Value
0.403846
Percentage
40.3846%
Step-by-Step Solution: 84/208 = 21/52
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 208:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(84, 208) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (84) and denominator (208) by 4.
84 ÷ 4/208 ÷ 4 = 21/52
Visual Representation
The diagram below illustrates Simplify 84/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/52 |
| Mixed Number Form | 21/52 |
| Decimal Form | 0.403846 |
| Percentage | 40.3846% |
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Frequently Asked Questions
What is 84/208 in simplest form?
84/208 simplified to lowest terms is 21/52.
What is the GCD (GCF) of 84 and 208?
The Greatest Common Divisor (GCD) of 84 and 208 is 4.
What are equivalent fractions to 84/208?
Equivalent fractions to 84/208 include 42/104, 63/156, and 84/208.