The reciprocal of $2 \frac{6}{7}$ is $\frac{-7}{20}$.
Answer
The reciprocal of $2 \frac{6}{7}$ is $\frac{-7}{20}$. (False) Correct : The reciprocal of $2 \frac{6}{7}$ or $\frac{20}{7}$ is $\frac{7}{20}$ not $\frac{-7}{20}$.
There exists atleast one integer between two different rational numbers.
Answer
There exists atleast one integer between two different rational numbers. (False) Correct : It is not necessary that one integer will exist between two different rational numbers.
The value of a rational number remains the same if both its numerator and denominator are multiplied (or divided) by the same (nonzero) integer.
Answer
The value of a rational number remains the same if both is numerator and denominator are multiplied (or divided) by the same (non-zero) integer. (True)