Question

Find a rational number between -2/5 and 1/4 with the denominator as 40. ​

Answer 1

To find the rational numbers lying between -2/5 and 1/4, we shall multiply both of the fractions with another fractions to get a common denominator.

Therefore -

$- \frac{2}{5} \times \frac{8}{8} = - \frac{16 }{40} \\ \\ \frac{1}{4} \times \frac{10}{10} = \frac{10}{40}$

So we have got two new fractions with same denominator that is 40.

$rational \: numbers \: between \: - \frac{16}{40} \: and \: \frac{10}{40} \: are \: - - \\ \\ - \frac{15}{40} , \: - \frac{14}{40} , \: - \frac{13}{40} \: and \: so \: on...$

Answer 2

Answer:

Step-by-step explanation:

5 / 40 is a rational number with a denominator as 40 between - 2 / 5 and 1 / 4.