Simplify 576/1200 to Lowest Terms
576/1200 simplified to its lowest terms is 12/25 (or 0.48 in decimal). See how to reduce 576/1200 using Greatest Common Divisor (GCD = 48).
Exact Answer
576/1200 = 12/25
Simplified Fraction
12/25
Mixed Number
Proper (12/25)
Decimal Value
0.48
Percentage
48%
Step-by-Step Solution: 576/1200 = 12/25
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 576:
โข Factors of 1200:
โข Factors of 576:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72โข Factors of 1200:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40
GCD(576, 1200) = 48
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 48. Divide both the numerator (576) and denominator (1200) by 48.
576 รท 48/1200 รท 48 = 12/25
Visual Representation
The diagram below illustrates Simplify 576/1200 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/25 |
| Mixed Number Form | 12/25 |
| Decimal Form | 0.48 |
| Percentage | 48% |
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Frequently Asked Questions
What is 576/1200 in simplest form?
576/1200 simplified to lowest terms is 12/25.
What is the GCD (GCF) of 576 and 1200?
The Greatest Common Divisor (GCD) of 576 and 1200 is 48.
What are equivalent fractions to 576/1200?
Equivalent fractions to 576/1200 include 24/50, 36/75, and 48/100.