Simplify 72/328 to Lowest Terms
72/328 simplified to its lowest terms is 9/41 (or 0.219512 in decimal). See how to reduce 72/328 using Greatest Common Divisor (GCD = 8).
Exact Answer
72/328 = 9/41
Simplified Fraction
9/41
Mixed Number
Proper (9/41)
Decimal Value
0.219512
Percentage
21.9512%
Step-by-Step Solution: 72/328 = 9/41
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 328:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 328:
1, 2, 4, 8, 41, 82, 164, 328
GCD(72, 328) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (72) and denominator (328) by 8.
72 ÷ 8/328 ÷ 8 = 9/41
Visual Representation
The diagram below illustrates Simplify 72/328 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/41 |
| Mixed Number Form | 9/41 |
| Decimal Form | 0.219512 |
| Percentage | 21.9512% |
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Frequently Asked Questions
What is 72/328 in simplest form?
72/328 simplified to lowest terms is 9/41.
What is the GCD (GCF) of 72 and 328?
The Greatest Common Divisor (GCD) of 72 and 328 is 8.
What are equivalent fractions to 72/328?
Equivalent fractions to 72/328 include 18/82, 27/123, and 36/164.