Simplify 40/180 to Lowest Terms
40/180 simplified to its lowest terms is 2/9 (or 0.222222 in decimal). See how to reduce 40/180 using Greatest Common Divisor (GCD = 20).
Exact Answer
40/180 = 2/9
Simplified Fraction
2/9
Mixed Number
Proper (2/9)
Decimal Value
0.222222
Percentage
22.2222%
Step-by-Step Solution: 40/180 = 2/9
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 40:
โข Factors of 180:
โข Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40โข Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
GCD(40, 180) = 20
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (40) and denominator (180) by 20.
40 รท 20/180 รท 20 = 2/9
Visual Representation
The diagram below illustrates Simplify 40/180 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/9 |
| Mixed Number Form | 2/9 |
| Decimal Form | 0.222222 |
| Percentage | 22.2222% |
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Frequently Asked Questions
What is 40/180 in simplest form?
40/180 simplified to lowest terms is 2/9.
What is the GCD (GCF) of 40 and 180?
The Greatest Common Divisor (GCD) of 40 and 180 is 20.
What are equivalent fractions to 40/180?
Equivalent fractions to 40/180 include 4/18, 6/27, and 8/36.