To simplify the expression 9/24, we need to find the greatest common divisor (GCD) of the numerator (9) and the denominator (24).
First, we find the factors of both numbers:
- Factors of 9: 1, 3, 9
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors are 1 and 3. The greatest common divisor is 3.
Next, we divide both the numerator and the denominator by their GCD:
- Numerator: 9 ÷ 3 = 3
- Denominator: 24 ÷ 3 = 8
So, the expression 9/24 simplifies to 3/8.
In conclusion, the simplified form of 9/24 is 3/8.