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Q.

Two rational numbers between $\frac{2}{3}$ and $\frac{5}{3}$ are

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a

\frac{1}{6}

and

\frac{2}{6}

b

\frac{1}{2}

and

\frac{2}{1}

c

\frac{5}{6}

and

\frac{7}{6}

d

\frac{2}{3}

and

\frac{4}{3}

answer is C.

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Detailed Solution

Given two numbers are

\frac{2}{3}

and

\frac{5}{3}

.
Now changing the denominators of both numbers to 6 by multiplying by 2 both denominator and numerator we get,

\frac{2}{3} = \frac{4}{6}

and

\frac{5}{3} = \frac{10}{6}

.
Numbers between the given rational numbers from the options are

\frac{5}{6} \frac{7}{6}

.
So, the correct answer is option 3.

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Two rational numbers between 23 and 53 are