Simplify 442/1200 to Lowest Terms
442/1200 simplified to its lowest terms is 221/600 (or 0.368333 in decimal). See how to reduce 442/1200 using Greatest Common Divisor (GCD = 2).
Exact Answer
442/1200 = 221/600
Simplified Fraction
221/600
Mixed Number
Proper (221/600)
Decimal Value
0.368333
Percentage
36.8333%
Step-by-Step Solution: 442/1200 = 221/600
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 442:
• Factors of 1200:
• Factors of 442:
1, 2, 13, 17, 26, 34, 221, 442• Factors of 1200:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
GCD(442, 1200) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (442) and denominator (1200) by 2.
442 ÷ 2/1200 ÷ 2 = 221/600
Visual Representation
The diagram below illustrates Simplify 442/1200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 221/600 |
| Mixed Number Form | 221/600 |
| Decimal Form | 0.368333 |
| Percentage | 36.8333% |
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Frequently Asked Questions
What is 442/1200 in simplest form?
442/1200 simplified to lowest terms is 221/600.
What is the GCD (GCF) of 442 and 1200?
The Greatest Common Divisor (GCD) of 442 and 1200 is 2.
What are equivalent fractions to 442/1200?
Equivalent fractions to 442/1200 include 442/1200, 663/1800, and 884/2400.