Simplify 50/400 to Lowest Terms
50/400 simplified to its lowest terms is 1/8 (or 0.125 in decimal). See how to reduce 50/400 using Greatest Common Divisor (GCD = 50).
Exact Answer
50/400 = 1/8
Simplified Fraction
1/8
Mixed Number
Proper (1/8)
Decimal Value
0.125
Percentage
12.5%
Step-by-Step Solution: 50/400 = 1/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 50:
• Factors of 400:
• Factors of 50:
1, 2, 5, 10, 25, 50• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(50, 400) = 50
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 50. Divide both the numerator (50) and denominator (400) by 50.
50 ÷ 50/400 ÷ 50 = 1/8
Visual Representation
The diagram below illustrates Simplify 50/400 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 50/400 in simplest form?
50/400 simplified to lowest terms is 1/8.
What is the GCD (GCF) of 50 and 400?
The Greatest Common Divisor (GCD) of 50 and 400 is 50.
What are equivalent fractions to 50/400?
Equivalent fractions to 50/400 include 2/16, 3/24, and 4/32.