Simplify 72/230 to Lowest Terms
72/230 simplified to its lowest terms is 36/115 (or 0.313043 in decimal). See how to reduce 72/230 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/230 = 36/115
Simplified Fraction
36/115
Mixed Number
Proper (36/115)
Decimal Value
0.313043
Percentage
31.3043%
Step-by-Step Solution: 72/230 = 36/115
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 230:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 230:
1, 2, 5, 10, 23, 46, 115, 230
GCD(72, 230) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (230) by 2.
72 ÷ 2/230 ÷ 2 = 36/115
Visual Representation
The diagram below illustrates Simplify 72/230 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/115 |
| Mixed Number Form | 36/115 |
| Decimal Form | 0.313043 |
| Percentage | 31.3043% |
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Frequently Asked Questions
What is 72/230 in simplest form?
72/230 simplified to lowest terms is 36/115.
What is the GCD (GCF) of 72 and 230?
The Greatest Common Divisor (GCD) of 72 and 230 is 2.
What are equivalent fractions to 72/230?
Equivalent fractions to 72/230 include 72/230, 108/345, and 144/460.