Simplify 900/1600 to Lowest Terms
900/1600 simplified to its lowest terms is 9/16 (or 0.5625 in decimal). See how to reduce 900/1600 using Greatest Common Divisor (GCD = 100).
Exact Answer
900/1600 = 9/16
Simplified Fraction
9/16
Mixed Number
Proper (9/16)
Decimal Value
0.5625
Percentage
56.25%
Step-by-Step Solution: 900/1600 = 9/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 900:
• Factors of 1600:
• Factors of 900:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(900, 1600) = 100
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 100. Divide both the numerator (900) and denominator (1600) by 100.
900 ÷ 100/1600 ÷ 100 = 9/16
Visual Representation
The diagram below illustrates Simplify 900/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/16 |
| Mixed Number Form | 9/16 |
| Decimal Form | 0.5625 |
| Percentage | 56.25% |
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Frequently Asked Questions
What is 900/1600 in simplest form?
900/1600 simplified to lowest terms is 9/16.
What is the GCD (GCF) of 900 and 1600?
The Greatest Common Divisor (GCD) of 900 and 1600 is 100.
What are equivalent fractions to 900/1600?
Equivalent fractions to 900/1600 include 18/32, 27/48, and 36/64.