The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) greater by

A.

\(\frac{23}{28}\)

B.

\(\frac{24}{28}\)

C.

\(\frac{50}{56}\)

D.

\(\frac{27}{28}\)

E.

\(\frac{48}{56}\)

Correct answer is C

Difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\)

\(\frac{33}{7}\) - \(\frac{9}{4}\) = \(\frac{69}{24}\)

The sum of \(\frac{1}{14}\) and 1\(\frac{1}{14}\) + \(\frac{3}{2}\)

= \(\frac{11}{7}\)

\(\frac{69}{28}\) - \(\frac{11}{7}\) = \(\frac{25}{28}\)

= \(\frac{50}{56}\)