Simplify 84/200 to Lowest Terms
84/200 simplified to its lowest terms is 21/50 (or 0.42 in decimal). See how to reduce 84/200 using Greatest Common Divisor (GCD = 4).
Exact Answer
84/200 = 21/50
Simplified Fraction
21/50
Mixed Number
Proper (21/50)
Decimal Value
0.42
Percentage
42%
Step-by-Step Solution: 84/200 = 21/50
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 200:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 200:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD(84, 200) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (84) and denominator (200) by 4.
84 ÷ 4/200 ÷ 4 = 21/50
Visual Representation
The diagram below illustrates Simplify 84/200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 21/50 |
| Mixed Number Form | 21/50 |
| Decimal Form | 0.42 |
| Percentage | 42% |
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Frequently Asked Questions
What is 84/200 in simplest form?
84/200 simplified to lowest terms is 21/50.
What is the GCD (GCF) of 84 and 200?
The Greatest Common Divisor (GCD) of 84 and 200 is 4.
What are equivalent fractions to 84/200?
Equivalent fractions to 84/200 include 42/100, 63/150, and 84/200.