Simplify 1080/1310 to Lowest Terms
1080/1310 simplified to its lowest terms is 108/131 (or 0.824427 in decimal). See how to reduce 1080/1310 using Greatest Common Divisor (GCD = 10).
Exact Answer
1080/1310 = 108/131
Simplified Fraction
108/131
Mixed Number
Proper (108/131)
Decimal Value
0.824427
Percentage
82.4427%
Step-by-Step Solution: 1080/1310 = 108/131
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1080:
• Factors of 1310:
• Factors of 1080:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30• Factors of 1310:
1, 2, 5, 10, 131, 262, 655, 1310
GCD(1080, 1310) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1080) and denominator (1310) by 10.
1080 ÷ 10/1310 ÷ 10 = 108/131
Visual Representation
The diagram below illustrates Simplify 1080/1310 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 108/131 |
| Mixed Number Form | 108/131 |
| Decimal Form | 0.824427 |
| Percentage | 82.4427% |
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Frequently Asked Questions
What is 1080/1310 in simplest form?
1080/1310 simplified to lowest terms is 108/131.
What is the GCD (GCF) of 1080 and 1310?
The Greatest Common Divisor (GCD) of 1080 and 1310 is 10.
What are equivalent fractions to 1080/1310?
Equivalent fractions to 1080/1310 include 216/262, 324/393, and 432/524.