Simplify 54/180 to Lowest Terms
54/180 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 54/180 using Greatest Common Divisor (GCD = 18).
Exact Answer
54/180 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 54/180 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 54:
• Factors of 180:
• Factors of 54:
1, 2, 3, 6, 9, 18, 27, 54• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
GCD(54, 180) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (54) and denominator (180) by 18.
54 ÷ 18/180 ÷ 18 = 3/10
Visual Representation
The diagram below illustrates Simplify 54/180 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 54/180 in simplest form?
54/180 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 54 and 180?
The Greatest Common Divisor (GCD) of 54 and 180 is 18.
What are equivalent fractions to 54/180?
Equivalent fractions to 54/180 include 6/20, 9/30, and 12/40.