1)

A student was asked to solve the fraction $\frac{\frac{7}{3}+1\frac{1}{2}of \frac{5}{3}}{2+1\frac{2}{3}}$ and his answer was 1/4. By how much was his answer wrong?


A) 1

B) 1/55

C) 1/220

D) None of this

Answer:

Option D

Explanation:

$\frac{\frac{7}{3}+1\frac{1}{2}of \frac{5}{3}}{2+1\frac{2}{3}}$ = $\frac{\frac{7}{3}+\frac{3}{2}of \frac{5}{3}}{2+\frac{5}{3}}$ $=\frac{\frac{7}{3}+\frac{5}{2}}{\frac{11}{3}}$ $=\frac{29}{6}\times\frac{3}{11}$ $=\frac{29}{22}$ $\therefore$ Required answer = $\frac{29}{22}-\frac{1}{4}=\frac{58-11}{44}$ $=\frac{47}{44} = 1 \frac{3}{44}$