Simplify 84/400 to Lowest Terms
84/400 simplified to its lowest terms is 21/100 (or 0.21 in decimal). See how to reduce 84/400 using Greatest Common Divisor (GCD = 4).
Exact Answer
84/400 = 21/100
Simplified Fraction
21/100
Mixed Number
Proper (21/100)
Decimal Value
0.21
Percentage
21%
Step-by-Step Solution: 84/400 = 21/100
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 400:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD(84, 400) = 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 (400) by 4.
84 ÷ 4/400 ÷ 4 = 21/100
Visual Representation
The diagram below illustrates Simplify 84/400 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 84/400 in simplest form?
84/400 simplified to lowest terms is 21/100.
What is the GCD (GCF) of 84 and 400?
The Greatest Common Divisor (GCD) of 84 and 400 is 4.
What are equivalent fractions to 84/400?
Equivalent fractions to 84/400 include 42/200, 63/300, and 84/400.