Simplify 72/180 to Lowest Terms
72/180 simplified to its lowest terms is 2/5 (or 0.4 in decimal). See how to reduce 72/180 using Greatest Common Divisor (GCD = 36).
Exact Answer
72/180 = 2/5
Simplified Fraction
2/5
Mixed Number
Proper (2/5)
Decimal Value
0.4
Percentage
40%
Step-by-Step Solution: 72/180 = 2/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 180:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
GCD(72, 180) = 36
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 36. Divide both the numerator (72) and denominator (180) by 36.
72 ÷ 36/180 ÷ 36 = 2/5
Visual Representation
The diagram below illustrates Simplify 72/180 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/5 |
| Mixed Number Form | 2/5 |
| Decimal Form | 0.4 |
| Percentage | 40% |
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Frequently Asked Questions
What is 72/180 in simplest form?
72/180 simplified to lowest terms is 2/5.
What is the GCD (GCF) of 72 and 180?
The Greatest Common Divisor (GCD) of 72 and 180 is 36.
What are equivalent fractions to 72/180?
Equivalent fractions to 72/180 include 4/10, 6/15, and 8/20.