Simplify 390/468 to Lowest Terms
390/468 simplified to its lowest terms is 5/6 (or 0.833333 in decimal). See how to reduce 390/468 using Greatest Common Divisor (GCD = 78).
Exact Answer
390/468 = 5/6
Simplified Fraction
5/6
Mixed Number
Proper (5/6)
Decimal Value
0.833333
Percentage
83.3333%
Step-by-Step Solution: 390/468 = 5/6
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 390:
• Factors of 468:
• Factors of 390:
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390• Factors of 468:
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156
GCD(390, 468) = 78
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 78. Divide both the numerator (390) and denominator (468) by 78.
390 ÷ 78/468 ÷ 78 = 5/6
Visual Representation
The diagram below illustrates Simplify 390/468 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/6 |
| Mixed Number Form | 5/6 |
| Decimal Form | 0.833333 |
| Percentage | 83.3333% |
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Frequently Asked Questions
What is 390/468 in simplest form?
390/468 simplified to lowest terms is 5/6.
What is the GCD (GCF) of 390 and 468?
The Greatest Common Divisor (GCD) of 390 and 468 is 78.
What are equivalent fractions to 390/468?
Equivalent fractions to 390/468 include 10/12, 15/18, and 20/24.