Simplify 450/360 to Lowest Terms
450/360 simplified to its lowest terms is 5/4 (or 1.25 in decimal). See how to reduce 450/360 using Greatest Common Divisor (GCD = 90).
Exact Answer
450/360 = 5/4
Simplified Fraction
5/4
Mixed Number
1 1/4
Decimal Value
1.25
Percentage
125%
Step-by-Step Solution: 450/360 = 5/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 450:
• Factors of 360:
• Factors of 450:
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
GCD(450, 360) = 90
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 90. Divide both the numerator (450) and denominator (360) by 90.
450 ÷ 90/360 ÷ 90 = 5/4
Step 3
Convert Improper Fraction to a Mixed Number
Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.
5/4 = 11/4
Visual Representation
The diagram below illustrates Simplify 450/360 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/4 |
| Mixed Number Form | 1 1/4 |
| Decimal Form | 1.25 |
| Percentage | 125% |
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Frequently Asked Questions
What is 450/360 in simplest form?
450/360 simplified to lowest terms is 5/4.
What is the GCD (GCF) of 450 and 360?
The Greatest Common Divisor (GCD) of 450 and 360 is 90.
What are equivalent fractions to 450/360?
Equivalent fractions to 450/360 include 10/8, 15/12, and 20/16.