Simplify 84/242 to Lowest Terms
84/242 simplified to its lowest terms is 42/121 (or 0.347107 in decimal). See how to reduce 84/242 using Greatest Common Divisor (GCD = 2).
Exact Answer
84/242 = 42/121
Simplified Fraction
42/121
Mixed Number
Proper (42/121)
Decimal Value
0.347107
Percentage
34.7107%
Step-by-Step Solution: 84/242 = 42/121
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 242:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 242:
1, 2, 11, 22, 121, 242
GCD(84, 242) = 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 (242) by 2.
84 ÷ 2/242 ÷ 2 = 42/121
Visual Representation
The diagram below illustrates Simplify 84/242 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 42/121 |
| Mixed Number Form | 42/121 |
| Decimal Form | 0.347107 |
| Percentage | 34.7107% |
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Frequently Asked Questions
What is 84/242 in simplest form?
84/242 simplified to lowest terms is 42/121.
What is the GCD (GCF) of 84 and 242?
The Greatest Common Divisor (GCD) of 84 and 242 is 2.
What are equivalent fractions to 84/242?
Equivalent fractions to 84/242 include 84/242, 126/363, and 168/484.