The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) is greater than sum of \(\frac{1}{14}\) and 1\(\frac{1}{2}\) by
A
\(\frac{23}{28}\)
B
\(\frac{24}{28}\)
C
\(\frac{50}{56}\)
D
\(\frac{27}{28}\)
E
\(\frac{48}{56}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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\(\frac{1}{14}\) + \(\frac{3}{2}\)
= \(\frac{11}{7}\)
\(\frac{69}{28}\) - \(\frac{11}{7}\) = \(\frac{25}{28}\)
= \(\frac{50}{56}\)
Source: Myschool Past Questions Archive (Record #32600)