Question

Insert 10 rational number between -3/12 and 8/11

Answer 1

Convert into decimal.
-0.25 and 0.73
And is
-0.24
-0.23
-0.22
-0.21
-0.2
0.1
0.2
0.3
0.4
.....
......And so on.....
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Answer 2

Answer:

The rational numbers are

$\frac{1}{132}, \frac{2}{132}, \frac{3}{132}, \frac{4}{132}, \frac{5}{132}, \frac{6}{132}, \frac{7}{132}, \frac{8}{132}, \frac{9}{132},\frac{10}{132}}$

Step-by-step explanation:

$\text{Given two rational numbers }\frac{-3}{12}\text{ and }\frac{8}{11}$

we have to find ten rational number between above two numbers

The two numbers are

$\frac{-3}{12}\text{ and }\frac{8}{11}$

As the denominator are not equal therefore the above two numbers can be written as

$\frac{-3}{12}=\frac{-3}{12}\times \frac{11}{11}=\frac{-33}{132}$

$\frac{8}{11}=\frac{8}{11}\times \frac{12}{12}=\frac{96}{132}$

The rational numbers are

$\frac{1}{132}, \frac{2}{132}, \frac{3}{132}, \frac{4}{132}, \frac{5}{132}, \frac{6}{132}, \frac{7}{132}, \frac{8}{132}, \frac{9}{132},\frac{10}{132}}$

which are required rational numbers.