Simplify 74/408 to Lowest Terms
74/408 simplified to its lowest terms is 37/204 (or 0.181373 in decimal). See how to reduce 74/408 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/408 = 37/204
Simplified Fraction
37/204
Mixed Number
Proper (37/204)
Decimal Value
0.181373
Percentage
18.1373%
Step-by-Step Solution: 74/408 = 37/204
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 408:
• Factors of 74:
1, 2, 37, 74• Factors of 408:
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD(74, 408) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (408) by 2.
74 ÷ 2/408 ÷ 2 = 37/204
Visual Representation
The diagram below illustrates Simplify 74/408 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/204 |
| Mixed Number Form | 37/204 |
| Decimal Form | 0.181373 |
| Percentage | 18.1373% |
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Frequently Asked Questions
What is 74/408 in simplest form?
74/408 simplified to lowest terms is 37/204.
What is the GCD (GCF) of 74 and 408?
The Greatest Common Divisor (GCD) of 74 and 408 is 2.
What are equivalent fractions to 74/408?
Equivalent fractions to 74/408 include 74/408, 111/612, and 148/816.