Question

find any six rational numbers between -2/3 and 3/4

Answer 1

- 2× 4 = 8
- 3× 4 = 12.
and
3 × 3 = 9
4 × 3 = 12
6 rational number between -8/12 and 9/12 are
= -7/12,-6/12,-5/12,-4/12,-3/12,-2/12.

Answer 2

Concept:

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

Given:

The given numbers are $-\frac{2}{3}$ and $\frac{3}{4}$.

Find:

We have to find the six rational numbers between the given numbers.

Solution:

Firstly, we will multiply the numerator and denominator of $-\frac{2}{3}$ with $4,$ we get

$-\frac{2 \times 4}{3 \times 4}=-\frac{8}{12}$

Now, we will multiply the numerator and denominator of $\frac{3}{4}$ with $3,$ we get

$\frac{3\times 3}{4\times 3}=\frac{9}{12}$

Thus, the six rational numbers between them is $-\frac{7}{12},-\frac{6}{12},-\frac{5}{12},-\frac{4}{12},-\frac{3}{12},-\frac{2}{12}$.

Hence, the six rational numbers are $-\frac{7}{12},-\frac{6}{12},-\frac{5}{12},-\frac{4}{12},-\frac{3}{12},-\frac{2}{12}$.

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