Simplify 1090/1380 to Lowest Terms
1090/1380 simplified to its lowest terms is 109/138 (or 0.789855 in decimal). See how to reduce 1090/1380 using Greatest Common Divisor (GCD = 10).
Exact Answer
1090/1380 = 109/138
Simplified Fraction
109/138
Mixed Number
Proper (109/138)
Decimal Value
0.789855
Percentage
78.9855%
Step-by-Step Solution: 1090/1380 = 109/138
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1090:
• Factors of 1380:
• Factors of 1090:
1, 2, 5, 10, 109, 218, 545, 1090• Factors of 1380:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92
GCD(1090, 1380) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1090) and denominator (1380) by 10.
1090 ÷ 10/1380 ÷ 10 = 109/138
Visual Representation
The diagram below illustrates Simplify 1090/1380 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 109/138 |
| Mixed Number Form | 109/138 |
| Decimal Form | 0.789855 |
| Percentage | 78.9855% |
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Frequently Asked Questions
What is 1090/1380 in simplest form?
1090/1380 simplified to lowest terms is 109/138.
What is the GCD (GCF) of 1090 and 1380?
The Greatest Common Divisor (GCD) of 1090 and 1380 is 10.
What are equivalent fractions to 1090/1380?
Equivalent fractions to 1090/1380 include 218/276, 327/414, and 436/552.