Simplify 360/270 to Lowest Terms
360/270 simplified to its lowest terms is 4/3 (or 1.333333 in decimal). See how to reduce 360/270 using Greatest Common Divisor (GCD = 90).
Exact Answer
360/270 = 4/3
Simplified Fraction
4/3
Mixed Number
1 1/3
Decimal Value
1.333333
Percentage
133.3333%
Step-by-Step Solution: 360/270 = 4/3
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 360:
• Factors of 270:
• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36• Factors of 270:
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD(360, 270) = 90
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 90. Divide both the numerator (360) and denominator (270) by 90.
360 ÷ 90/270 ÷ 90 = 4/3
Step 3
Convert Improper Fraction to a Mixed Number
Because 4 is larger than 3, 4/3 can also be written as the mixed number 1 1/3.
4/3 = 11/3
Visual Representation
The diagram below illustrates Simplify 360/270 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/3 |
| Mixed Number Form | 1 1/3 |
| Decimal Form | 1.333333 |
| Percentage | 133.3333% |
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Frequently Asked Questions
What is 360/270 in simplest form?
360/270 simplified to lowest terms is 4/3.
What is the GCD (GCF) of 360 and 270?
The Greatest Common Divisor (GCD) of 360 and 270 is 90.
What are equivalent fractions to 360/270?
Equivalent fractions to 360/270 include 8/6, 12/9, and 16/12.