Simplify 64/400 to Lowest Terms
64/400 simplified to its lowest terms is 4/25 (or 0.16 in decimal). See how to reduce 64/400 using Greatest Common Divisor (GCD = 16).
Exact Answer
64/400 = 4/25
Simplified Fraction
4/25
Mixed Number
Proper (4/25)
Decimal Value
0.16
Percentage
16%
Step-by-Step Solution: 64/400 = 4/25
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 64:
• Factors of 400:
• Factors of 64:
1, 2, 4, 8, 16, 32, 64• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(64, 400) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (64) and denominator (400) by 16.
64 ÷ 16/400 ÷ 16 = 4/25
Visual Representation
The diagram below illustrates Simplify 64/400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/25 |
| Mixed Number Form | 4/25 |
| Decimal Form | 0.16 |
| Percentage | 16% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 64/400 in simplest form?
64/400 simplified to lowest terms is 4/25.
What is the GCD (GCF) of 64 and 400?
The Greatest Common Divisor (GCD) of 64 and 400 is 16.
What are equivalent fractions to 64/400?
Equivalent fractions to 64/400 include 8/50, 12/75, and 16/100.