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RRB NTPC Prelims Model Paper 5 with solutions

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Question : 1 of 100

Marks: +1, -0

Find the value of

\frac{5}{3 + \frac{3}{1 - \frac{2}{3}}}

$\frac{3}{5}$
$1\frac{2}{3}$
$\frac{5}{12}$
5

Solution:

Concept:

Simplify nested fractions by solving the innermost denominator first.

Explanation:

Given expression:

\frac{5}{3+\frac{3}{1-\frac{2}{3}}}

.

First, simplify the inner term:

1-\frac{2}{3}=\frac{1}{3}

.

Then,

\frac{3}{\frac{1}{3}}=3 \times 3=9

.

Now the denominator becomes

3+9=12

.

So, the value is

\frac{5}{12}

.

Answer:

\frac{5}{12}

(Option C).

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