Simplify 360/262 to Lowest Terms
360/262 simplified to its lowest terms is 180/131 (or 1.374046 in decimal). See how to reduce 360/262 using Greatest Common Divisor (GCD = 2).
Exact Answer
360/262 = 180/131
Simplified Fraction
180/131
Mixed Number
1 49/131
Decimal Value
1.374046
Percentage
137.4046%
Step-by-Step Solution: 360/262 = 180/131
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 360:
• Factors of 262:
• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36• Factors of 262:
1, 2, 131, 262
GCD(360, 262) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (360) and denominator (262) by 2.
360 ÷ 2/262 ÷ 2 = 180/131
Step 3
Convert Improper Fraction to a Mixed Number
Because 180 is larger than 131, 180/131 can also be written as the mixed number 1 49/131.
180/131 = 149/131
Visual Representation
The diagram below illustrates Simplify 360/262 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 180/131 |
| Mixed Number Form | 1 49/131 |
| Decimal Form | 1.374046 |
| Percentage | 137.4046% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 360/262 in simplest form?
360/262 simplified to lowest terms is 180/131.
What is the GCD (GCF) of 360 and 262?
The Greatest Common Divisor (GCD) of 360 and 262 is 2.
What are equivalent fractions to 360/262?
Equivalent fractions to 360/262 include 360/262, 540/393, and 720/524.