Answer: The correct option is (A) [tex]7\dfrac{1}{24}.[/tex]
Step-by-step explanation: We are given to perform the following indicated operation :
[tex]E=1\dfrac{2}{3}+5\dfrac{3}{8}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following rule :
[tex]a\dfrac{b}{c}=\dfrac{ac+b}{c}.[/tex]
From (i), we get
[tex]E\\\\=1\dfrac{2}{3}+5\dfrac{3}{8}\\\\\\=\dfrac{5}{3}+\dfrac{43}{8}\\\\\\=\dfrac{40+129}{24}\\\\\\=\dfrac{169}{24}\\\\\\=7\dfrac{1}{24}.[/tex]
Thus, the required answer is [tex]7\dfrac{1}{24}.[/tex]
Option (A) is CORRECT.
