Answer: [tex]9\dfrac{17}{24}\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Christine Picks three Pumpkins which weighs
[tex]6\dfrac{1}{4}=\dfrac{6\times 4+1}{4}\ \text{Pounds}[/tex]
[tex]2\dfrac{1}{3}=\dfrac{2\times 3+1}{3}\ \text{Pounds}[/tex]
[tex]1\dfrac{1}{8}=\dfrac{8\times 1+1}{8}\ \text{Pounds}[/tex]
The total weight will be the addition of the weights of each pumpkin
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{7}{3}+\dfrac{9}{8}\\\\\text{Take the LCM of the denominators which will be 24}\\\\\Rightarrow \dfrac{25\times 6}{24}+\dfrac{7\times 8}{24}+\dfrac{9\times 3}{24}\\\\\Rightarrow \dfrac{150+56+27}{24}\\\\\Rightarrow \dfrac{233}{24}\ \text{Pounds}\\\\\Rightarrow 9\dfrac{17}{24}\ \text{Pounds}[/tex]