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CTET Paper II (Mathematics and Science) 21 Dec 2021 Solved Paper

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Question : 32 of 150

Marks: +1, -0

\frac{2}{3}

\frac{1}{3}

is equal to

3 $\frac{2}{9}$
2 $\frac{2}{9}$
3 $\frac{2}{3}$
2 $\frac{2}{3}$

Solution:

Concept:

To multiply a fraction by a mixed number, first convert the mixed number into an improper fraction.

Explanation:

Convert

3\frac{1}{3}

to improper fraction:

3\frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}

.

Multiply:

\frac{2}{3} \times \frac{10}{3} = \frac{2 \times 10}{3 \times 3} = \frac{20}{9}

.

Convert

\frac{20}{9}

to mixed number:

20 \div 9 = 2

remainder

2

, so

2\frac{2}{9}

.

Answer:

B.

2\frac{2}{9}

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