Simplify 900/1440 to Lowest Terms
900/1440 simplified to its lowest terms is 5/8 (or 0.625 in decimal). See how to reduce 900/1440 using Greatest Common Divisor (GCD = 180).
Exact Answer
900/1440 = 5/8
Simplified Fraction
5/8
Mixed Number
Proper (5/8)
Decimal Value
0.625
Percentage
62.5%
Step-by-Step Solution: 900/1440 = 5/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 900:
• Factors of 1440:
• Factors of 900:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45• Factors of 1440:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
GCD(900, 1440) = 180
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 180. Divide both the numerator (900) and denominator (1440) by 180.
900 ÷ 180/1440 ÷ 180 = 5/8
Visual Representation
The diagram below illustrates Simplify 900/1440 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/8 |
| Mixed Number Form | 5/8 |
| Decimal Form | 0.625 |
| Percentage | 62.5% |
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Frequently Asked Questions
What is 900/1440 in simplest form?
900/1440 simplified to lowest terms is 5/8.
What is the GCD (GCF) of 900 and 1440?
The Greatest Common Divisor (GCD) of 900 and 1440 is 180.
What are equivalent fractions to 900/1440?
Equivalent fractions to 900/1440 include 10/16, 15/24, and 20/32.