Respuesta :
Answer: The correct option is (D) [tex]1\dfrac{5}{24}.[/tex]
Step-by-step explanation: We are given to perform the following indicated operation :
[tex]S=\dfrac{5}{8}+\dfrac{7}{12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the indicated operation is addition, so we need to add both the fractions.
Also, the denominators are not equal, so we will take the L.C.M. of the denominators to add the fractions.
From expression (i), we have
[tex]S\\\\\\=\dfrac{5}{8}+\dfrac{7}{12}\\\\\\=\dfrac{5\times3+7\times2}{24}\\\\\\=\dfrac{29}{24}\\\\\\=1\dfrac{5}{24}.[/tex]
Thus, the required result is [tex]1\dfrac{5}{24}.[/tex]
Option (D) is CORRECT.
