Simplify 96/384 to Lowest Terms
96/384 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 96/384 using Greatest Common Divisor (GCD = 96).
Exact Answer
96/384 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 96/384 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 96:
• Factors of 384:
• Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96• Factors of 384:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD(96, 384) = 96
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 96. Divide both the numerator (96) and denominator (384) by 96.
96 ÷ 96/384 ÷ 96 = 1/4
Visual Representation
The diagram below illustrates Simplify 96/384 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 96/384 in simplest form?
96/384 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 96 and 384?
The Greatest Common Divisor (GCD) of 96 and 384 is 96.
What are equivalent fractions to 96/384?
Equivalent fractions to 96/384 include 2/8, 3/12, and 4/16.