Simplify 120/432 to Lowest Terms
120/432 simplified to its lowest terms is 5/18 (or 0.277778 in decimal). See how to reduce 120/432 using Greatest Common Divisor (GCD = 24).
Exact Answer
120/432 = 5/18
Simplified Fraction
5/18
Mixed Number
Proper (5/18)
Decimal Value
0.277778
Percentage
27.7778%
Step-by-Step Solution: 120/432 = 5/18
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 432:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 432:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72
GCD(120, 432) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (120) and denominator (432) by 24.
120 ÷ 24/432 ÷ 24 = 5/18
Visual Representation
The diagram below illustrates Simplify 120/432 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/18 |
| Mixed Number Form | 5/18 |
| Decimal Form | 0.277778 |
| Percentage | 27.7778% |
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Frequently Asked Questions
What is 120/432 in simplest form?
120/432 simplified to lowest terms is 5/18.
What is the GCD (GCF) of 120 and 432?
The Greatest Common Divisor (GCD) of 120 and 432 is 24.
What are equivalent fractions to 120/432?
Equivalent fractions to 120/432 include 10/36, 15/54, and 20/72.