Simplify 90/384 to Lowest Terms
90/384 simplified to its lowest terms is 15/64 (or 0.234375 in decimal). See how to reduce 90/384 using Greatest Common Divisor (GCD = 6).
Exact Answer
90/384 = 15/64
Simplified Fraction
15/64
Mixed Number
Proper (15/64)
Decimal Value
0.234375
Percentage
23.4375%
Step-by-Step Solution: 90/384 = 15/64
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 384:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 384:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD(90, 384) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (90) and denominator (384) by 6.
90 ÷ 6/384 ÷ 6 = 15/64
Visual Representation
The diagram below illustrates Simplify 90/384 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/64 |
| Mixed Number Form | 15/64 |
| Decimal Form | 0.234375 |
| Percentage | 23.4375% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 90/384 in simplest form?
90/384 simplified to lowest terms is 15/64.
What is the GCD (GCF) of 90 and 384?
The Greatest Common Divisor (GCD) of 90 and 384 is 6.
What are equivalent fractions to 90/384?
Equivalent fractions to 90/384 include 30/128, 45/192, and 60/256.