1-{1}{1-{1}{2-1/3}} is equal to :

Correct Answer is : −32-3/2−23

Correct Answer is : −32-3/2−23

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CTET Paper II (Mathematics and Science) 10 Jan 2023 Solved Paper

Question : 34 of 150

Marks: +1, -0

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

is equal to :

Solution:

Concept:

Simplify a continued fraction by working from the innermost denominator outward.

Explanation:

Start with the innermost part:

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

Then

\frac{1}{\frac{5}{3}} = \frac{3}{5}

Next,

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

Then

\frac{1}{\frac{2}{5}} = \frac{5}{2}

Finally,

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

Answer:

-\frac{3}{2}

(Option A)

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