Simplify 72/82 to Lowest Terms
72/82 simplified to its lowest terms is 36/41 (or 0.878049 in decimal). See how to reduce 72/82 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/82 = 36/41
Simplified Fraction
36/41
Mixed Number
Proper (36/41)
Decimal Value
0.878049
Percentage
87.8049%
Step-by-Step Solution: 72/82 = 36/41
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 82:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 82:
1, 2, 41, 82
GCD(72, 82) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (82) by 2.
72 ÷ 2/82 ÷ 2 = 36/41
Visual Representation
The diagram below illustrates Simplify 72/82 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/41 |
| Mixed Number Form | 36/41 |
| Decimal Form | 0.878049 |
| Percentage | 87.8049% |
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Frequently Asked Questions
What is 72/82 in simplest form?
72/82 simplified to lowest terms is 36/41.
What is the GCD (GCF) of 72 and 82?
The Greatest Common Divisor (GCD) of 72 and 82 is 2.
What are equivalent fractions to 72/82?
Equivalent fractions to 72/82 include 72/82, 108/123, and 144/164.