Simplify 82/96 to Lowest Terms
82/96 simplified to its lowest terms is 41/48 (or 0.854167 in decimal). See how to reduce 82/96 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/96 = 41/48
Simplified Fraction
41/48
Mixed Number
Proper (41/48)
Decimal Value
0.854167
Percentage
85.4167%
Step-by-Step Solution: 82/96 = 41/48
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 82:
โข Factors of 96:
โข Factors of 82:
1, 2, 41, 82โข Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
GCD(82, 96) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (82) and denominator (96) by 2.
82 รท 2/96 รท 2 = 41/48
Visual Representation
The diagram below illustrates Simplify 82/96 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/48 |
| Mixed Number Form | 41/48 |
| Decimal Form | 0.854167 |
| Percentage | 85.4167% |
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Frequently Asked Questions
What is 82/96 in simplest form?
82/96 simplified to lowest terms is 41/48.
What is the GCD (GCF) of 82 and 96?
The Greatest Common Divisor (GCD) of 82 and 96 is 2.
What are equivalent fractions to 82/96?
Equivalent fractions to 82/96 include 82/96, 123/144, and 164/192.