Simplify 84/218 to Lowest Terms
84/218 simplified to its lowest terms is 42/109 (or 0.385321 in decimal). See how to reduce 84/218 using Greatest Common Divisor (GCD = 2).
Exact Answer
84/218 = 42/109
Simplified Fraction
42/109
Mixed Number
Proper (42/109)
Decimal Value
0.385321
Percentage
38.5321%
Step-by-Step Solution: 84/218 = 42/109
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 218:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 218:
1, 2, 109, 218
GCD(84, 218) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (84) and denominator (218) by 2.
84 ÷ 2/218 ÷ 2 = 42/109
Visual Representation
The diagram below illustrates Simplify 84/218 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 42/109 |
| Mixed Number Form | 42/109 |
| Decimal Form | 0.385321 |
| Percentage | 38.5321% |
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Frequently Asked Questions
What is 84/218 in simplest form?
84/218 simplified to lowest terms is 42/109.
What is the GCD (GCF) of 84 and 218?
The Greatest Common Divisor (GCD) of 84 and 218 is 2.
What are equivalent fractions to 84/218?
Equivalent fractions to 84/218 include 84/218, 126/327, and 168/436.