Simplify 300/408 to Lowest Terms
300/408 simplified to its lowest terms is 25/34 (or 0.735294 in decimal). See how to reduce 300/408 using Greatest Common Divisor (GCD = 12).
Exact Answer
300/408 = 25/34
Simplified Fraction
25/34
Mixed Number
Proper (25/34)
Decimal Value
0.735294
Percentage
73.5294%
Step-by-Step Solution: 300/408 = 25/34
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 300:
• Factors of 408:
• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100• Factors of 408:
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD(300, 408) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (300) and denominator (408) by 12.
300 ÷ 12/408 ÷ 12 = 25/34
Visual Representation
The diagram below illustrates Simplify 300/408 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 25/34 |
| Mixed Number Form | 25/34 |
| Decimal Form | 0.735294 |
| Percentage | 73.5294% |
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Frequently Asked Questions
What is 300/408 in simplest form?
300/408 simplified to lowest terms is 25/34.
What is the GCD (GCF) of 300 and 408?
The Greatest Common Divisor (GCD) of 300 and 408 is 12.
What are equivalent fractions to 300/408?
Equivalent fractions to 300/408 include 50/68, 75/102, and 100/136.