Simplify 72/390 to Lowest Terms
72/390 simplified to its lowest terms is 12/65 (or 0.184615 in decimal). See how to reduce 72/390 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/390 = 12/65
Simplified Fraction
12/65
Mixed Number
Proper (12/65)
Decimal Value
0.184615
Percentage
18.4615%
Step-by-Step Solution: 72/390 = 12/65
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 390:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 390:
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD(72, 390) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (72) and denominator (390) by 6.
72 ÷ 6/390 ÷ 6 = 12/65
Visual Representation
The diagram below illustrates Simplify 72/390 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/65 |
| Mixed Number Form | 12/65 |
| Decimal Form | 0.184615 |
| Percentage | 18.4615% |
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Frequently Asked Questions
What is 72/390 in simplest form?
72/390 simplified to lowest terms is 12/65.
What is the GCD (GCF) of 72 and 390?
The Greatest Common Divisor (GCD) of 72 and 390 is 6.
What are equivalent fractions to 72/390?
Equivalent fractions to 72/390 include 24/130, 36/195, and 48/260.