Question

Find four rational number between -1 and -½.

​

Answer 1

Answer:

-1/9, -1/8, -1/7, -1/6.

Answer 2

Answer:

to find four rational numbers between -1 and -½ we have to make the denominators common through L.C.M

L.C.M of 1 and 2 is 2

$\frac{ - 1}{1} \times \frac{2}{2} = \frac{ - 2}{2} \\ \\ \frac{ \: \: 1}{2} \times \frac{1}{1} = \frac{1}{2}$

We can't find four rational numbers, so multiply by 10

$\frac{ - 2}{2} \times \frac{10}{10} = \frac{ - 20}{20} \\ \\ \frac{1}{2} \times \frac{10}{10} = \frac{10}{20} \\ \\ rational \: no. \: between \: \frac{ - 20}{20} and \: \frac{10}{20} \: are \: \\ \\ \frac{9}{20} , \frac{8}{20} , \frac{7}{20} , \frac{6}{20} and \: etc.$

four rational numbers between -1 and -½

$\frac{9}{20} , \frac{8}{20} , \frac{7}{20} , \frac{6}{20}$