Question

Find the measurement of each subject. Assume that each figure is not drawn to scale.

Answer 1

To obtain the measure of segment AD, add the measurement of segment AC and segment CD.

`AD=AC+CD=2(3)/(8)+1(1)/(4)`

Rewrite the fraction part as similar fractions. Multiply the numerator and teh denominator of the second fraction by 2 to obtain 8 in the denominator.

`\begin{gathered} AC+CD=2(3)/(8)+1(1\cdot2)/(4\cdot2) \\ =2(3)/(8)+1(2)/(8) \end{gathered}`

Add the whole numbers, 2 and 1. Add the numerators, 3 and 2, and then copy the common denominator, which is 8.

`\begin{gathered} AD=2(3)/(8)+1(2)/(8) \\ =3(5)/(8)_{} \end{gathered}`

Therefore, the correct answer is the third option, 3 5/8 in.