Simplify 130/180 to Lowest Terms
130/180 simplified to its lowest terms is 13/18 (or 0.722222 in decimal). See how to reduce 130/180 using Greatest Common Divisor (GCD = 10).
Exact Answer
130/180 = 13/18
Simplified Fraction
13/18
Mixed Number
Proper (13/18)
Decimal Value
0.722222
Percentage
72.2222%
Step-by-Step Solution: 130/180 = 13/18
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 130:
โข Factors of 180:
โข Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130โข Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
GCD(130, 180) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (130) and denominator (180) by 10.
130 รท 10/180 รท 10 = 13/18
Visual Representation
The diagram below illustrates Simplify 130/180 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/18 |
| Mixed Number Form | 13/18 |
| Decimal Form | 0.722222 |
| Percentage | 72.2222% |
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Frequently Asked Questions
What is 130/180 in simplest form?
130/180 simplified to lowest terms is 13/18.
What is the GCD (GCF) of 130 and 180?
The Greatest Common Divisor (GCD) of 130 and 180 is 10.
What are equivalent fractions to 130/180?
Equivalent fractions to 130/180 include 26/36, 39/54, and 52/72.