Simplify 30/122 to Lowest Terms
30/122 simplified to its lowest terms is 15/61 (or 0.245902 in decimal). See how to reduce 30/122 using Greatest Common Divisor (GCD = 2).
Exact Answer
30/122 = 15/61
Simplified Fraction
15/61
Mixed Number
Proper (15/61)
Decimal Value
0.245902
Percentage
24.5902%
Step-by-Step Solution: 30/122 = 15/61
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 122:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 122:
1, 2, 61, 122
GCD(30, 122) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (30) and denominator (122) by 2.
30 ÷ 2/122 ÷ 2 = 15/61
Visual Representation
The diagram below illustrates Simplify 30/122 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/61 |
| Mixed Number Form | 15/61 |
| Decimal Form | 0.245902 |
| Percentage | 24.5902% |
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Frequently Asked Questions
What is 30/122 in simplest form?
30/122 simplified to lowest terms is 15/61.
What is the GCD (GCF) of 30 and 122?
The Greatest Common Divisor (GCD) of 30 and 122 is 2.
What are equivalent fractions to 30/122?
Equivalent fractions to 30/122 include 30/122, 45/183, and 60/244.