Answer: The answer is (B) [tex]47\dfrac{7}{12}[/tex].
Step-by-step explanation: We are given to find the difference between the following two numbers:
[tex]n_1=126\dfrac{1}{4},~~~n_2=78\dfrac{2}{3}.[/tex]
To find the difference, we need to subtract the smaller number from the larger one.
Since, [tex]n_1>n_2[/tex], so the difference is given by
[tex]d\\\\=n_1-n_2\\\\=126\dfrac{1}{4}-78\dfrac{2}{3}\\\\=\dfrac{505}{4}-\dfrac{236}{3}\\\\=\dfrac{505\times3-236\times4}{12}\\\\=\dfrac{1515-944}{12}\\\\=\dfrac{571}{12}\\\\=47\dfrac{7}{12}.[/tex]
Thus, (B) [tex]47\dfrac{7}{12}[/tex] is the correct option.
