Simplify 138/432 to Lowest Terms
138/432 simplified to its lowest terms is 23/72 (or 0.319444 in decimal). See how to reduce 138/432 using Greatest Common Divisor (GCD = 6).
Exact Answer
138/432 = 23/72
Simplified Fraction
23/72
Mixed Number
Proper (23/72)
Decimal Value
0.319444
Percentage
31.9444%
Step-by-Step Solution: 138/432 = 23/72
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 138:
• Factors of 432:
• Factors of 138:
1, 2, 3, 6, 23, 46, 69, 138• Factors of 432:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72
GCD(138, 432) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (138) and denominator (432) by 6.
138 ÷ 6/432 ÷ 6 = 23/72
Visual Representation
The diagram below illustrates Simplify 138/432 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 23/72 |
| Mixed Number Form | 23/72 |
| Decimal Form | 0.319444 |
| Percentage | 31.9444% |
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Frequently Asked Questions
What is 138/432 in simplest form?
138/432 simplified to lowest terms is 23/72.
What is the GCD (GCF) of 138 and 432?
The Greatest Common Divisor (GCD) of 138 and 432 is 6.
What are equivalent fractions to 138/432?
Equivalent fractions to 138/432 include 46/144, 69/216, and 92/288.