Simplify 432/1152 to Lowest Terms
432/1152 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 432/1152 using Greatest Common Divisor (GCD = 144).
Exact Answer
432/1152 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 432/1152 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 432:
• Factors of 1152:
• Factors of 432:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72• Factors of 1152:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
GCD(432, 1152) = 144
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 144. Divide both the numerator (432) and denominator (1152) by 144.
432 ÷ 144/1152 ÷ 144 = 3/8
Visual Representation
The diagram below illustrates Simplify 432/1152 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 432/1152 in simplest form?
432/1152 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 432 and 1152?
The Greatest Common Divisor (GCD) of 432 and 1152 is 144.
What are equivalent fractions to 432/1152?
Equivalent fractions to 432/1152 include 6/16, 9/24, and 12/32.