Simplify 108/288 to Lowest Terms
108/288 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 108/288 using Greatest Common Divisor (GCD = 36).
Exact Answer
108/288 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 108/288 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 108:
• Factors of 288:
• Factors of 108:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(108, 288) = 36
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 36. Divide both the numerator (108) and denominator (288) by 36.
108 ÷ 36/288 ÷ 36 = 3/8
Visual Representation
The diagram below illustrates Simplify 108/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 108/288 in simplest form?
108/288 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 108 and 288?
The Greatest Common Divisor (GCD) of 108 and 288 is 36.
What are equivalent fractions to 108/288?
Equivalent fractions to 108/288 include 6/16, 9/24, and 12/32.