Simplify 288/600 to Lowest Terms
288/600 simplified to its lowest terms is 12/25 (or 0.48 in decimal). See how to reduce 288/600 using Greatest Common Divisor (GCD = 24).
Exact Answer
288/600 = 12/25
Simplified Fraction
12/25
Mixed Number
Proper (12/25)
Decimal Value
0.48
Percentage
48%
Step-by-Step Solution: 288/600 = 12/25
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 288:
โข Factors of 600:
โข Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96โข Factors of 600:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50
GCD(288, 600) = 24
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (288) and denominator (600) by 24.
288 รท 24/600 รท 24 = 12/25
Visual Representation
The diagram below illustrates Simplify 288/600 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 288/600 in simplest form?
288/600 simplified to lowest terms is 12/25.
What is the GCD (GCF) of 288 and 600?
The Greatest Common Divisor (GCD) of 288 and 600 is 24.
What are equivalent fractions to 288/600?
Equivalent fractions to 288/600 include 24/50, 36/75, and 48/100.