Simplify 84/122 to Lowest Terms
84/122 simplified to its lowest terms is 42/61 (or 0.688525 in decimal). See how to reduce 84/122 using Greatest Common Divisor (GCD = 2).
Exact Answer
84/122 = 42/61
Simplified Fraction
42/61
Mixed Number
Proper (42/61)
Decimal Value
0.688525
Percentage
68.8525%
Step-by-Step Solution: 84/122 = 42/61
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 122:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 122:
1, 2, 61, 122
GCD(84, 122) = 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 (122) by 2.
84 ÷ 2/122 ÷ 2 = 42/61
Visual Representation
The diagram below illustrates Simplify 84/122 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 42/61 |
| Mixed Number Form | 42/61 |
| Decimal Form | 0.688525 |
| Percentage | 68.8525% |
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Frequently Asked Questions
What is 84/122 in simplest form?
84/122 simplified to lowest terms is 42/61.
What is the GCD (GCF) of 84 and 122?
The Greatest Common Divisor (GCD) of 84 and 122 is 2.
What are equivalent fractions to 84/122?
Equivalent fractions to 84/122 include 84/122, 126/183, and 168/244.