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CTET Paper II (Mathematics and Science) 5 Jan 2022 Solved Paper

Question : 34 of 150

Marks: +1, -0

Reciprocal of 2

\frac{1}{3}÷\frac{3}{5}

Solution:

Concept:

The reciprocal of a number is 1 divided by that number. First, simplify the given expression, then find its reciprocal.

Explanation:

Convert the mixed fraction

2\frac{1}{3}

to an improper fraction:

2\frac{1}{3} = \frac{7}{3}

Now divide:

\frac{7}{3} ÷ \frac{3}{5} = \frac{7}{3} \times \frac{5}{3} = \frac{35}{9}

The reciprocal of

\frac{35}{9}

\frac{9}{35}

Answer:

\frac{9}{35}

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