Simplify 82/76 to Lowest Terms
82/76 simplified to its lowest terms is 41/38 (or 1.078947 in decimal). See how to reduce 82/76 using Greatest Common Divisor (GCD = 2).
Exact Answer
82/76 = 41/38
Simplified Fraction
41/38
Mixed Number
1 3/38
Decimal Value
1.078947
Percentage
107.8947%
Step-by-Step Solution: 82/76 = 41/38
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 82:
• Factors of 76:
• Factors of 82:
1, 2, 41, 82• Factors of 76:
1, 2, 4, 19, 38, 76
GCD(82, 76) = 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 (76) by 2.
82 ÷ 2/76 ÷ 2 = 41/38
Step 3
Convert Improper Fraction to a Mixed Number
Because 41 is larger than 38, 41/38 can also be written as the mixed number 1 3/38.
41/38 = 13/38
Visual Representation
The diagram below illustrates Simplify 82/76 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 41/38 |
| Mixed Number Form | 1 3/38 |
| Decimal Form | 1.078947 |
| Percentage | 107.8947% |
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Frequently Asked Questions
What is 82/76 in simplest form?
82/76 simplified to lowest terms is 41/38.
What is the GCD (GCF) of 82 and 76?
The Greatest Common Divisor (GCD) of 82 and 76 is 2.
What are equivalent fractions to 82/76?
Equivalent fractions to 82/76 include 82/76, 123/114, and 164/152.