Simplify 200/800 to Lowest Terms
200/800 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 200/800 using Greatest Common Divisor (GCD = 200).
Exact Answer
200/800 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 200/800 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 200:
• Factors of 800:
• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200• Factors of 800:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200
GCD(200, 800) = 200
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 200. Divide both the numerator (200) and denominator (800) by 200.
200 ÷ 200/800 ÷ 200 = 1/4
Visual Representation
The diagram below illustrates Simplify 200/800 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 200/800 in simplest form?
200/800 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 200 and 800?
The Greatest Common Divisor (GCD) of 200 and 800 is 200.
What are equivalent fractions to 200/800?
Equivalent fractions to 200/800 include 2/8, 3/12, and 4/16.