Simplify 500/1600 to Lowest Terms
500/1600 simplified to its lowest terms is 5/16 (or 0.3125 in decimal). See how to reduce 500/1600 using Greatest Common Divisor (GCD = 100).
Exact Answer
500/1600 = 5/16
Simplified Fraction
5/16
Mixed Number
Proper (5/16)
Decimal Value
0.3125
Percentage
31.25%
Step-by-Step Solution: 500/1600 = 5/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 500:
• Factors of 1600:
• Factors of 500:
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(500, 1600) = 100
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 100. Divide both the numerator (500) and denominator (1600) by 100.
500 ÷ 100/1600 ÷ 100 = 5/16
Visual Representation
The diagram below illustrates Simplify 500/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/16 |
| Mixed Number Form | 5/16 |
| Decimal Form | 0.3125 |
| Percentage | 31.25% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 500/1600 in simplest form?
500/1600 simplified to lowest terms is 5/16.
What is the GCD (GCF) of 500 and 1600?
The Greatest Common Divisor (GCD) of 500 and 1600 is 100.
What are equivalent fractions to 500/1600?
Equivalent fractions to 500/1600 include 10/32, 15/48, and 20/64.