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Q.

Convert the fraction $3 \frac{3}{5}$ into decimal form.

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a

0.6

b

3.3

c

3.5

d

3.6

answer is D.

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Detailed Solution

It is given

3 \frac{3}{5}

.
In case of a mixed fraction, first convert it into a improper fraction.
To convert a fraction into a decimal form, make the denominator of the fraction equal to 10 and expand the resultant improper fraction. Note the place value of the number carefully and represent it in decimal form.

\Rightarrow 3 \frac{3}{5}

\Rightarrow \frac{3 \times 5 + 3}{5}

\Rightarrow \frac{18}{5}

\Rightarrow \frac{18 \times 2}{5 \times 2}

\Rightarrow \frac{36}{10}

\Rightarrow \frac{30 + 6}{10}

\Rightarrow \frac{30}{10} + \frac{6}{10}

\Rightarrow 3 + \frac{6}{10}

The decimal form has 3 in ones place and 6 in tenths.
The decimal form will be 3.6.
Hence option (4) is correct.

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