ABC26GN0938 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
$\frac{3}{4} \div 2 \frac{1}{4}$ of $\frac{2}{3}-\frac{\frac{1}{2}-\frac{1}{3}}{\frac{1}{2}+\frac{1}{3}} \times 3 \frac{1}{3}+\frac{5}{6}=$ ?
(a)$\frac{7}{18}$
(b)$\frac{49}{54}$
(c)$\frac{2}{3}$
(d)$\frac{1}{6}$
Answer
Explanation
Given exp. $=\frac{3}{4} \div \frac{9}{4}$ of $\frac{2}{3}-\frac{\left(\frac{3-2}{6}\right)}{\left(\frac{3+2}{6}\right)} \times \frac{10}{3}+\frac{5}{6}$ $$\begin{aligned} & =\frac{3}{4} \div \frac{3}{2}-\frac{1}{6} \times \frac{6}{5} \times \frac{10}{3}+\frac{5}{6} \\ & =\frac{3}{4} \times \frac{2}{3}-\frac{2}{3}+\frac{5}{6}=\left(\frac{1}{2}-\frac{2}{3}+\frac{5}{6}\right) \\ & =\left(\frac{3-4+5}{6}\right)=\frac{4}{6}=\frac{2}{3} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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