Question Bank › General Aptitude › Simplification › ABC26GN0939ABC26GN0939 · Simplification Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
A student was asked to solve the fraction $\frac{\frac{7}{3}+1 \frac{1}{2} \text { of } \frac{5}{3}}{2+1 \frac{2}{3}}$ and his answer was $\frac{1}{4}$. By how much was his answer wrong?
(a) 1
(b) $\frac{1}{55}$
(c) $\frac{1}{220}$
(d) None of these
Answer Explanation $\frac{\frac{7}{3}+1 \frac{1}{2} \text { of } \frac{5}{3}}{2+1 \frac{2}{3}}=\frac{\frac{7}{3}+\frac{3}{2} \text { of } \frac{5}{3}}{2+\frac{5}{3}}=\frac{\frac{7}{3}+\frac{5}{2}}{\frac{11}{3}}=\frac{29}{6} \times \frac{3}{11}=\frac{29}{22}$. $\therefore \quad$ Required answer $=\frac{29}{22}-\frac{1}{4}=\frac{58-11}{44}=\frac{47}{44}=1 \frac{3}{44}$.
Explanation as extracted from the printed page; notation may be imperfect.
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