Simplify 390/1100 to Lowest Terms
390/1100 simplified to its lowest terms is 39/110 (or 0.354545 in decimal). See how to reduce 390/1100 using Greatest Common Divisor (GCD = 10).
Exact Answer
390/1100 = 39/110
Simplified Fraction
39/110
Mixed Number
Proper (39/110)
Decimal Value
0.354545
Percentage
35.4545%
Step-by-Step Solution: 390/1100 = 39/110
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 390:
• Factors of 1100:
• Factors of 390:
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390• Factors of 1100:
1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275
GCD(390, 1100) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (390) and denominator (1100) by 10.
390 ÷ 10/1100 ÷ 10 = 39/110
Visual Representation
The diagram below illustrates Simplify 390/1100 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 39/110 |
| Mixed Number Form | 39/110 |
| Decimal Form | 0.354545 |
| Percentage | 35.4545% |
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Frequently Asked Questions
What is 390/1100 in simplest form?
390/1100 simplified to lowest terms is 39/110.
What is the GCD (GCF) of 390 and 1100?
The Greatest Common Divisor (GCD) of 390 and 1100 is 10.
What are equivalent fractions to 390/1100?
Equivalent fractions to 390/1100 include 78/220, 117/330, and 156/440.