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Q.

Which of the following is a rational number between $\frac{1}{2}$ and $\frac{2}{3}$ ?

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a

\frac{3}{5}

b

\frac{1}{2}

c

\frac{- 3}{2}

d

\frac{3}{2}

answer is A.

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Detailed Solution

The rational numbers are the numbers which can be written in the form

\frac{a}{b}

.
Option 1 is in between

\frac{1}{2}

and

\frac{2}{3}

since

\frac{3}{5} = 0.6

,

\frac{1}{2} = 0.5

,

\frac{2}{3} = 0.666

and it is also a rational number.
All the other options are not in between

\frac{1}{2}

and

\frac{2}{3}

. So, they are wrong.
Therefore, option 1 is correct.

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