Simplify 360/1350 to Lowest Terms
360/1350 simplified to its lowest terms is 4/15 (or 0.266667 in decimal). See how to reduce 360/1350 using Greatest Common Divisor (GCD = 90).
Exact Answer
360/1350 = 4/15
Simplified Fraction
4/15
Mixed Number
Proper (4/15)
Decimal Value
0.266667
Percentage
26.6667%
Step-by-Step Solution: 360/1350 = 4/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 360:
• Factors of 1350:
• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36• Factors of 1350:
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75
GCD(360, 1350) = 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 (1350) by 90.
360 ÷ 90/1350 ÷ 90 = 4/15
Visual Representation
The diagram below illustrates Simplify 360/1350 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/15 |
| Mixed Number Form | 4/15 |
| Decimal Form | 0.266667 |
| Percentage | 26.6667% |
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Frequently Asked Questions
What is 360/1350 in simplest form?
360/1350 simplified to lowest terms is 4/15.
What is the GCD (GCF) of 360 and 1350?
The Greatest Common Divisor (GCD) of 360 and 1350 is 90.
What are equivalent fractions to 360/1350?
Equivalent fractions to 360/1350 include 8/30, 12/45, and 16/60.