Simplify 25/200 to Lowest Terms
25/200 simplified to its lowest terms is 1/8 (or 0.125 in decimal). See how to reduce 25/200 using Greatest Common Divisor (GCD = 25).
Exact Answer
25/200 = 1/8
Simplified Fraction
1/8
Mixed Number
Proper (1/8)
Decimal Value
0.125
Percentage
12.5%
Step-by-Step Solution: 25/200 = 1/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 25:
• Factors of 200:
• Factors of 25:
1, 5, 25• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(25, 200) = 25
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 25. Divide both the numerator (25) and denominator (200) by 25.
25 ÷ 25/200 ÷ 25 = 1/8
Visual Representation
The diagram below illustrates Simplify 25/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/8 |
| Mixed Number Form | 1/8 |
| Decimal Form | 0.125 |
| Percentage | 12.5% |
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Frequently Asked Questions
What is 25/200 in simplest form?
25/200 simplified to lowest terms is 1/8.
What is the GCD (GCF) of 25 and 200?
The Greatest Common Divisor (GCD) of 25 and 200 is 25.
What are equivalent fractions to 25/200?
Equivalent fractions to 25/200 include 2/16, 3/24, and 4/32.