Simplify 96/216 to Lowest Terms
96/216 simplified to its lowest terms is 4/9 (or 0.444444 in decimal). See how to reduce 96/216 using Greatest Common Divisor (GCD = 24).
Exact Answer
96/216 = 4/9
Simplified Fraction
4/9
Mixed Number
Proper (4/9)
Decimal Value
0.444444
Percentage
44.4444%
Step-by-Step Solution: 96/216 = 4/9
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 96:
• Factors of 216:
• Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(96, 216) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (96) and denominator (216) by 24.
96 ÷ 24/216 ÷ 24 = 4/9
Visual Representation
The diagram below illustrates Simplify 96/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/9 |
| Mixed Number Form | 4/9 |
| Decimal Form | 0.444444 |
| Percentage | 44.4444% |
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Frequently Asked Questions
What is 96/216 in simplest form?
96/216 simplified to lowest terms is 4/9.
What is the GCD (GCF) of 96 and 216?
The Greatest Common Divisor (GCD) of 96 and 216 is 24.
What are equivalent fractions to 96/216?
Equivalent fractions to 96/216 include 8/18, 12/27, and 16/36.