Simplify 400/1600 to Lowest Terms
400/1600 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 400/1600 using Greatest Common Divisor (GCD = 400).
Exact Answer
400/1600 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 400/1600 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 400:
• Factors of 1600:
• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400• Factors of 1600:
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160
GCD(400, 1600) = 400
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 400. Divide both the numerator (400) and denominator (1600) by 400.
400 ÷ 400/1600 ÷ 400 = 1/4
Visual Representation
The diagram below illustrates Simplify 400/1600 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 400/1600 in simplest form?
400/1600 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 400 and 1600?
The Greatest Common Divisor (GCD) of 400 and 1600 is 400.
What are equivalent fractions to 400/1600?
Equivalent fractions to 400/1600 include 2/8, 3/12, and 4/16.