A television screen has sides in the ratio \(\text{width} : \text{height} = 4 : 3\). A laptop screen has sides in the ratio \(\text{width} : \text{height} = 16 : 9\). An image exactly fills the television screen. The same image only fills the height of the laptop screen and not the width, as shown in the diagram.
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Find the fraction of the laptop screen not covered by the image. Give your answer in its lowest terms.[2]

A television screen has sides in the ratio \(\text{width} : \text{height} = 4 : 3\).
A laptop screen has sides in the ratio \(\text{width} : \text{height} = 16 : 9\).
An image exactly fills the television screen.
The same image only fills the height of the laptop screen and not the width, as shown in the diagram.

Find the fraction of the laptop screen not covered by the image.
Give your answer in its lowest terms.