Simplify 84/432 to Lowest Terms
84/432 simplified to its lowest terms is 7/36 (or 0.194444 in decimal). See how to reduce 84/432 using Greatest Common Divisor (GCD = 12).
Exact Answer
84/432 = 7/36
Simplified Fraction
7/36
Mixed Number
Proper (7/36)
Decimal Value
0.194444
Percentage
19.4444%
Step-by-Step Solution: 84/432 = 7/36
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 432:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 432:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72
GCD(84, 432) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (84) and denominator (432) by 12.
84 ÷ 12/432 ÷ 12 = 7/36
Visual Representation
The diagram below illustrates Simplify 84/432 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/36 |
| Mixed Number Form | 7/36 |
| Decimal Form | 0.194444 |
| Percentage | 19.4444% |
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Frequently Asked Questions
What is 84/432 in simplest form?
84/432 simplified to lowest terms is 7/36.
What is the GCD (GCF) of 84 and 432?
The Greatest Common Divisor (GCD) of 84 and 432 is 12.
What are equivalent fractions to 84/432?
Equivalent fractions to 84/432 include 14/72, 21/108, and 28/144.