Rational Number between Two Rational Numbers

Find four rational numbers between $\frac{1}{2} \text{and} \frac{4}{3}$ by making numerators equal.

Find three rational numbers between $\frac{1}{2} \text{and} \frac{3}{2}$ by making their numerators equal.

Express $\frac{1}{2}\left(\frac{-2}{3}+\frac{1}{4}\right)$ in terms of the rational number $\frac{p}{q}$ and show that it lies between the rational numbers $\frac{-2}{3}$ and $\frac{1}{4}$.

How many rational numbers are there between $\frac{-3}{2}$ and $0$ with denominator as $1$?

Find a rational number between $\frac{4}{5}$ and $\frac{8}{3}$.

Find a rational number between $\frac{5}{6}$ and $\frac{3}{2}$.

Vinodh wants to find the sum of the sequence of the rational numbers, S = $ \frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\dots $


The value of S = _____.

$ x$ and $ y$ are two rational numbers. Which of the following statements is/are true about $ x$ and $ y$?

(i) $ x+y$ is a rational number.

(ii) $ x-y$ is a rational number.

(iii) $ xy$ is a rational number.

(iv) $ \frac{x}{y}$ is a rational number.

$ a, b, c, d, e$ and $ f$ are integers.Which of the following statements does NOT hold true?

Represent $\frac{8}{3}$between two consecutive integers on the number line. 

Find the rational number exactly between $-1\frac{2}{7}$ and $\frac{9}{2}$.

Find the rational number exactly in the middle of $1\frac{3}{4}$ and $4\frac{3}{8}$.

Find the rational number exactly in the middle of $\frac{-5}{4}$ and $-\frac{1}{6}$.

Find the rational number exactly between $\frac{-3}{5}$ and $\frac{8}{3}$.

Find the rational number exactly between $\frac{-7}{8}$ and $\frac{7 }{8 }$.

Find the rational number exactly between $\frac{1}{3}$ and $\frac{1}{2}$.

Find a rational number exactly between

- 1 and 1.

The rational number situated in the middle of $-3$ and $4$ is:

The rational number exactly between $-1$ and $-\frac{1}{2}$ is