Simplify 88/384 to Lowest Terms
88/384 simplified to its lowest terms is 11/48 (or 0.229167 in decimal). See how to reduce 88/384 using Greatest Common Divisor (GCD = 8).
Exact Answer
88/384 = 11/48
Simplified Fraction
11/48
Mixed Number
Proper (11/48)
Decimal Value
0.229167
Percentage
22.9167%
Step-by-Step Solution: 88/384 = 11/48
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 88:
• Factors of 384:
• Factors of 88:
1, 2, 4, 8, 11, 22, 44, 88• Factors of 384:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD(88, 384) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (88) and denominator (384) by 8.
88 ÷ 8/384 ÷ 8 = 11/48
Visual Representation
The diagram below illustrates Simplify 88/384 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/48 |
| Mixed Number Form | 11/48 |
| Decimal Form | 0.229167 |
| Percentage | 22.9167% |
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Frequently Asked Questions
What is 88/384 in simplest form?
88/384 simplified to lowest terms is 11/48.
What is the GCD (GCF) of 88 and 384?
The Greatest Common Divisor (GCD) of 88 and 384 is 8.
What are equivalent fractions to 88/384?
Equivalent fractions to 88/384 include 22/96, 33/144, and 44/192.