Simplify 30/116 to Lowest Terms
30/116 simplified to its lowest terms is 15/58 (or 0.258621 in decimal). See how to reduce 30/116 using Greatest Common Divisor (GCD = 2).
Exact Answer
30/116 = 15/58
Simplified Fraction
15/58
Mixed Number
Proper (15/58)
Decimal Value
0.258621
Percentage
25.8621%
Step-by-Step Solution: 30/116 = 15/58
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 116:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 116:
1, 2, 4, 29, 58, 116
GCD(30, 116) = 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 (116) by 2.
30 ÷ 2/116 ÷ 2 = 15/58
Visual Representation
The diagram below illustrates Simplify 30/116 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/58 |
| Mixed Number Form | 15/58 |
| Decimal Form | 0.258621 |
| Percentage | 25.8621% |
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Frequently Asked Questions
What is 30/116 in simplest form?
30/116 simplified to lowest terms is 15/58.
What is the GCD (GCF) of 30 and 116?
The Greatest Common Divisor (GCD) of 30 and 116 is 2.
What are equivalent fractions to 30/116?
Equivalent fractions to 30/116 include 30/116, 45/174, and 60/232.