Simplify 180/360 to Lowest Terms
180/360 simplified to its lowest terms is 1/2 (or 0.5 in decimal). See how to reduce 180/360 using Greatest Common Divisor (GCD = 180).
Exact Answer
180/360 = 1/2
Simplified Fraction
1/2
Mixed Number
Proper (1/2)
Decimal Value
0.5
Percentage
50%
Step-by-Step Solution: 180/360 = 1/2
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 180:
• Factors of 360:
• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
GCD(180, 360) = 180
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 180. Divide both the numerator (180) and denominator (360) by 180.
180 ÷ 180/360 ÷ 180 = 1/2
Visual Representation
The diagram below illustrates Simplify 180/360 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/2 |
| Mixed Number Form | 1/2 |
| Decimal Form | 0.5 |
| Percentage | 50% |
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Frequently Asked Questions
What is 180/360 in simplest form?
180/360 simplified to lowest terms is 1/2.
What is the GCD (GCF) of 180 and 360?
The Greatest Common Divisor (GCD) of 180 and 360 is 180.
What are equivalent fractions to 180/360?
Equivalent fractions to 180/360 include 2/4, 3/6, and 4/8.