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CTET Paper II (Mathematics and Science) 6 Jan 2022 Solved Paper

Question : 34 of 150

Marks: +1, -0

On dividing 2

\frac{1}{3}

\frac{2}{5}

, the result is

$\frac{5}{3}$
$\frac{35}{3}$
$\frac{35}{7}$
$\frac{35}{6}$

Validate

Solution:

Concept:

To divide a mixed fraction by a fraction, first convert the mixed fraction into an improper fraction. Then, multiply by the reciprocal of the divisor.

Explanation:

Convert

2\frac{1}{3}

to an improper fraction:

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

Now divide

\frac{7}{3}

\frac{2}{5}

\frac{7}{3} \div \frac{2}{5} = \frac{7}{3} \times \frac{5}{2}

Multiply numerators and denominators:

\frac{7 \times 5}{3 \times 2} = \frac{35}{6}

Answer:

\frac{35}{6}

(Option D)

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