Simplify 42/200 to Lowest Terms
42/200 simplified to its lowest terms is 21/100 (or 0.21 in decimal). See how to reduce 42/200 using Greatest Common Divisor (GCD = 2).
Exact Answer
42/200 = 21/100
Simplified Fraction
21/100
Mixed Number
Proper (21/100)
Decimal Value
0.21
Percentage
21%
Step-by-Step Solution: 42/200 = 21/100
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 200:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(42, 200) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (42) and denominator (200) by 2.
42 ÷ 2/200 ÷ 2 = 21/100
Visual Representation
The diagram below illustrates Simplify 42/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/100 |
| Mixed Number Form | 21/100 |
| Decimal Form | 0.21 |
| Percentage | 21% |
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Frequently Asked Questions
What is 42/200 in simplest form?
42/200 simplified to lowest terms is 21/100.
What is the GCD (GCF) of 42 and 200?
The Greatest Common Divisor (GCD) of 42 and 200 is 2.
What are equivalent fractions to 42/200?
Equivalent fractions to 42/200 include 42/200, 63/300, and 84/400.