Question

5. Find a rational number -1/3 and 1/8
​

Answer 1

Answer:

All five of those numbers are rational since they are sums and products of rational numbers

and all five are greater than -1/8

and all five are less than 1/3.

The inequalities are obvious from seeing that

(-1/8) + (1) * (1/3 + 1/8)

Answer 2

Now, coming to your question,

\dfrac{1}{8}

8

1

and \dfrac{1}{3}

3

1

By cross multiplying,

\dfrac{1 × 3}{8 × 3} = \dfrac{3}{24}

8×3

1×3

=

24

3

\dfrac{1 × 8}{3 × 8} = \dfrac{8}{24}

3×8

1×8

=

24

8

Following are the rational numbers between \dfrac{3}{24}

24

3

and \dfrac{8}{24}

24

8

:-

1] \dfrac{4}{24}

24

4

2] \dfrac{5}{24}

24

5

3] \dfrac{6}{24}

24

6

4] \dfrac{7}{24}

24

7