Simplify 72/438 to Lowest Terms
72/438 simplified to its lowest terms is 12/73 (or 0.164384 in decimal). See how to reduce 72/438 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/438 = 12/73
Simplified Fraction
12/73
Mixed Number
Proper (12/73)
Decimal Value
0.164384
Percentage
16.4384%
Step-by-Step Solution: 72/438 = 12/73
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 438:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 438:
1, 2, 3, 6, 73, 146, 219, 438
GCD(72, 438) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (72) and denominator (438) by 6.
72 ÷ 6/438 ÷ 6 = 12/73
Visual Representation
The diagram below illustrates Simplify 72/438 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/73 |
| Mixed Number Form | 12/73 |
| Decimal Form | 0.164384 |
| Percentage | 16.4384% |
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Frequently Asked Questions
What is 72/438 in simplest form?
72/438 simplified to lowest terms is 12/73.
What is the GCD (GCF) of 72 and 438?
The Greatest Common Divisor (GCD) of 72 and 438 is 6.
What are equivalent fractions to 72/438?
Equivalent fractions to 72/438 include 24/146, 36/219, and 48/292.