Simplify 74/400 to Lowest Terms
74/400 simplified to its lowest terms is 37/200 (or 0.185 in decimal). See how to reduce 74/400 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/400 = 37/200
Simplified Fraction
37/200
Mixed Number
Proper (37/200)
Decimal Value
0.185
Percentage
18.5%
Step-by-Step Solution: 74/400 = 37/200
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 400:
• Factors of 74:
1, 2, 37, 74• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(74, 400) = 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 (400) by 2.
74 ÷ 2/400 ÷ 2 = 37/200
Visual Representation
The diagram below illustrates Simplify 74/400 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/200 |
| Mixed Number Form | 37/200 |
| Decimal Form | 0.185 |
| Percentage | 18.5% |
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Frequently Asked Questions
What is 74/400 in simplest form?
74/400 simplified to lowest terms is 37/200.
What is the GCD (GCF) of 74 and 400?
The Greatest Common Divisor (GCD) of 74 and 400 is 2.
What are equivalent fractions to 74/400?
Equivalent fractions to 74/400 include 74/400, 111/600, and 148/800.