Simplify 84/384 to Lowest Terms
84/384 simplified to its lowest terms is 7/32 (or 0.21875 in decimal). See how to reduce 84/384 using Greatest Common Divisor (GCD = 12).
Exact Answer
84/384 = 7/32
Simplified Fraction
7/32
Mixed Number
Proper (7/32)
Decimal Value
0.21875
Percentage
21.875%
Step-by-Step Solution: 84/384 = 7/32
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 84:
• Factors of 384:
• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84• Factors of 384:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD(84, 384) = 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 (384) by 12.
84 ÷ 12/384 ÷ 12 = 7/32
Visual Representation
The diagram below illustrates Simplify 84/384 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/32 |
| Mixed Number Form | 7/32 |
| Decimal Form | 0.21875 |
| Percentage | 21.875% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 84/384 in simplest form?
84/384 simplified to lowest terms is 7/32.
What is the GCD (GCF) of 84 and 384?
The Greatest Common Divisor (GCD) of 84 and 384 is 12.
What are equivalent fractions to 84/384?
Equivalent fractions to 84/384 include 14/64, 21/96, and 28/128.