ABC26GN0937 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
$\frac{5}{6} \div \frac{6}{7} \times ?-\frac{8}{9} \div 1 \frac{3}{5}+\frac{3}{4} \times 3 \frac{1}{3}=2 \frac{7}{9}$
(a)$\frac{7}{6}$
(b)$\frac{6}{7}$
(c)1
(d)None of these
Answer
Explanation
Let $\frac{5}{6} \div \frac{6}{7} \times x-\frac{8}{9} \div \frac{8}{5}+\frac{3}{4} \times \frac{10}{3}=\frac{25}{9}$. Then, $$\begin{aligned} & \frac{5}{6} \times \frac{7}{6} \times x-\frac{8}{9} \times \frac{5}{8}+\frac{3}{4} \times \frac{10}{3}=\frac{25}{9} \Leftrightarrow \frac{35}{36} x-\frac{5}{9}+\frac{5}{2}=\frac{25}{9} \\ & \Leftrightarrow \frac{35}{36} x=\frac{25}{9}+\frac{5}{9}-\frac{5}{2}=\frac{10}{3}-\frac{5}{2} \\ & \Leftrightarrow \frac{35}{36} x=\frac{5}{6} \Leftrightarrow x=\left(\frac{5}{6} \times \frac{36}{35}\right)=\frac{6}{7} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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