The value of [35.7- (3+1/(3+1/3))- (2+1/(2+1/2))] is · ABC26GN0742
Subject: General Aptitude · Chapter: Decimal Fractions
The value of $\left[35.7-\left(3+\frac{1}{3+\frac{1}{3}}\right)-\left(2+\frac{1}{2+\frac{1}{2}}\right)\right]$ is
(a)30
(b)34.8
(c)36.6
(d)41.4
Answer
Explanation
Given expression $$\begin{aligned} & =35.7-\left(3+\frac{1}{\frac{10}{3}}\right)-\left(2+\frac{1}{\frac{5}{2}}\right)=35.7-\left(3+\frac{3}{10}\right)-\left(2+\frac{2}{5}\right) \\ & =35.7-\frac{33}{10}-\frac{12}{5}=35.7-\left(\frac{33}{10}+\frac{12}{5}\right) \\ & =35.7-\frac{57}{10}=35.7-5.7=30 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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