To find the scale factor between the two television screens, we need to compare the corresponding dimensions of each screen.
The dimensions of the first television are:
- Width: 16 inches
- Height: 9 inches
The dimensions of the second television are:
- Width: 24 inches
- Height: 13.5 inches
Now, we can calculate the scale factor for each dimension:
Width scale factor: \[ \text{Scale factor (width)} = \frac{\text{Width of second TV}}{\text{Width of first TV}} = \frac{24}{16} = \frac{3}{2} \]
Height scale factor: \[ \text{Scale factor (height)} = \frac{\text{Height of second TV}}{\text{Height of first TV}} = \frac{13.5}{9} = \frac{3}{2} \]
Since both width and height give the same scale factor of \( \frac{3}{2} \), we can conclude that the overall scale factor from the first television to the second television is \( \frac{3}{2} \).
Therefore, the answer is: 23 Start Fraction 2 over 3 End Fraction
(Note: It seems there may have been an error in writing "23" – it should simply indicate \( \frac{3}{2} \) as in the explanation.)