Simplify 84/338 to Lowest Terms
84/338 simplified to its lowest terms is 42/169 (or 0.248521 in decimal). See how to reduce 84/338 using Greatest Common Divisor (GCD = 2).
Exact Answer
84/338 = 42/169
Simplified Fraction
42/169
Mixed Number
Proper (42/169)
Decimal Value
0.248521
Percentage
24.8521%
Step-by-Step Solution: 84/338 = 42/169
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 338:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 338:
1, 2, 13, 26, 169, 338
GCD(84, 338) = 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 (338) by 2.
84 ÷ 2/338 ÷ 2 = 42/169
Visual Representation
The diagram below illustrates Simplify 84/338 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 42/169 |
| Mixed Number Form | 42/169 |
| Decimal Form | 0.248521 |
| Percentage | 24.8521% |
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Frequently Asked Questions
What is 84/338 in simplest form?
84/338 simplified to lowest terms is 42/169.
What is the GCD (GCF) of 84 and 338?
The Greatest Common Divisor (GCD) of 84 and 338 is 2.
What are equivalent fractions to 84/338?
Equivalent fractions to 84/338 include 84/338, 126/507, and 168/676.