Simplify 74/200 to Lowest Terms
74/200 simplified to its lowest terms is 37/100 (or 0.37 in decimal). See how to reduce 74/200 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/200 = 37/100
Simplified Fraction
37/100
Mixed Number
Proper (37/100)
Decimal Value
0.37
Percentage
37%
Step-by-Step Solution: 74/200 = 37/100
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 200:
• Factors of 74:
1, 2, 37, 74• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(74, 200) = 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 (200) by 2.
74 ÷ 2/200 ÷ 2 = 37/100
Visual Representation
The diagram below illustrates Simplify 74/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/100 |
| Mixed Number Form | 37/100 |
| Decimal Form | 0.37 |
| Percentage | 37% |
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Frequently Asked Questions
What is 74/200 in simplest form?
74/200 simplified to lowest terms is 37/100.
What is the GCD (GCF) of 74 and 200?
The Greatest Common Divisor (GCD) of 74 and 200 is 2.
What are equivalent fractions to 74/200?
Equivalent fractions to 74/200 include 74/200, 111/300, and 148/400.