To find the ratio of oranges to total fruits, we first need to determine the total number of fruits in the bowl.
The number of each fruit is:
- Apples: 8
- Oranges: 3
- Bananas: 4
Now, let's calculate the total number of fruits:
\[ \text{Total fruits} = \text{Number of apples} + \text{Number of oranges} + \text{Number of bananas} = 8 + 3 + 4 = 15 \]
Next, we set up the ratio of oranges to total fruits:
\[ \text{Ratio} = \frac{\text{Number of oranges}}{\text{Total fruits}} = \frac{3}{15} \]
Now, we simplify the ratio \(\frac{3}{15}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
\[ \frac{3 \div 3}{15 \div 3} = \frac{1}{5} \]
Thus, the simplified ratio of oranges to total fruits is
\[ \boxed{\frac{1}{5}} \]