Answer: The required simplified form of the given expression is
[tex]\dfrac{3m-28}{7m}.[/tex]
Step-by-step explanation: We are given to explain the simplification of the following repression :
[tex]E=\dfrac{3}{7}-\dfrac{4}{m}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the denominators are different in both the fractions, so we wiill take the L.C.M. of the denominators.
Now, L.CM.(7, m) = 7m.
So, we have from (i) that
[tex]E\\\\\\=\dfrac{3}{7}-\dfrac{4}{m}\\\\\\=\dfrac{3\times m-4\times7}{7m}\\\\\\=\dfrac{3m-28}{7m}.[/tex]
Thus, the required simplified form of the given expression is
[tex]\dfrac{3m-28}{7m}.[/tex]
