Question

List any four rational numbers between -4/5 and 2/3​

Answer 1

Given:

Two rational numbers -4/5 and 2/3.

To Find:

Any four rational numbers between the two mentioned rational numbers.

Solution:

The given problem can be solved using the concepts of LCM.

1. The given fractions are -4/5 and 2/3.

2. There are an infinite number of rational numbers between any two rational numbers.

3. Convert the fractions such that the denominators are equal,

=> (-4/5), (2/3),

=>$\frac{-4 * 3}{5 * 3}$,$\frac{2*5}{3*5}$,

=> (-12/15), (10/15).

4. Since the denominators of the fractions are equal, any number lying between the two fractions is considered as the rational number between (-4/5) and (2/3).

5. Hence, the list of some of the fractions between (-12/15), (10/15) is,

=> -11/15, -10/15, -9/15, -8/15, -7/15, -6/15, -5/15, -4/15, -3/15, -2/15, -1/15, 0, 1/15, 2/15, 3/15, 4/15, 5/15, 6/15, 7/15, 8/15, 9/15.

Therefore, the fractions 2/15, 3/15, 4/15, 5/15 are some of the fractions which lie between the fractions (-4/5) and 2/3.

Answer 2

Answer:

-4/5 & -2/3

=> -4/5 x 3 = -12/15

=> -2/3 x 5 = -10/15

Rational Numbers between (-12/15) & (-10/15) is

=>  -11/15, -10/15, -9/15, -8/15, -7/15, -6/15, -5/15, -4/15, -3/15, -2/15, -1/15, 0, 1/15, 2/15, 3/15, 4/15, 5/15, 6/15, 7/15, 8/15, 9/15.

Therefore, the fractions 2/15, 3/15, 4/15, 5/15 are some of the fractions which lie between the fractions (-4/5) and 2/3.