Simplify 72/164 to Lowest Terms
72/164 simplified to its lowest terms is 18/41 (or 0.439024 in decimal). See how to reduce 72/164 using Greatest Common Divisor (GCD = 4).
Exact Answer
72/164 = 18/41
Simplified Fraction
18/41
Mixed Number
Proper (18/41)
Decimal Value
0.439024
Percentage
43.9024%
Step-by-Step Solution: 72/164 = 18/41
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 164:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 164:
1, 2, 4, 41, 82, 164
GCD(72, 164) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (72) and denominator (164) by 4.
72 ÷ 4/164 ÷ 4 = 18/41
Visual Representation
The diagram below illustrates Simplify 72/164 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 18/41 |
| Mixed Number Form | 18/41 |
| Decimal Form | 0.439024 |
| Percentage | 43.9024% |
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Frequently Asked Questions
What is 72/164 in simplest form?
72/164 simplified to lowest terms is 18/41.
What is the GCD (GCF) of 72 and 164?
The Greatest Common Divisor (GCD) of 72 and 164 is 4.
What are equivalent fractions to 72/164?
Equivalent fractions to 72/164 include 36/82, 54/123, and 72/164.