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