Total amount to lose = 5 pounds
Already Aaron lost:
![2(1)/(2)+(1)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/5o04h2tu79hh1o7ayhjrnwfgep9or1mvye.png)
pound.
Lets add up the fractions:
![\begin{gathered} 2(1)/(2)+(1)/(8) \\ =(5)/(2)+(1)/(8) \\ =(5(4)+1)/(8) \\ =(21)/(8) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zu6qs0lmgei1pslrnzlhfec7n7st5kcsz2.png)
Aaron already lost (21/8) pounds. If we subtract it from "5", we can find the amount the needs to lose this month to reach his goal. The Answer is:
![\begin{gathered} 5-(21)/(8) \\ =(5(8)-21)/(8) \\ =(40-21)/(8) \\ =(19)/(8) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hyuccf04szgq6ttotzke2oheslekqeb7ci.png)
Converting to mixed number [amount he needs to lose]:
![(19)/(8)=2(3)/(8)\text{Pounds}](https://img.qammunity.org/2023/formulas/mathematics/college/1iumebnkfw4kw33wkyresk9qvl1z6tt3az.png)