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View source for Points $A$, $B$, $C$, and $D$ lie on a line, in that order. If $AB=2$ units, $BC=5$ units and $AD=14$ units, what is the ratio of $AC$ to $BD$? Express your answer as a common fraction.

← Points $A$, $B$, $C$, and $D$ lie on a line, in that order. If $AB=2$ units, $BC=5$ units and $AD=14$ units, what is the ratio of $AC$ to $BD$? Express your answer as a common fraction.

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Solution:
<math>AC = AB + BC = 7</math>. <math>BD = AD - AB = 12</math>. Thus, <math>AC:BD=\boxed{\frac{7}{12}}</math>.

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