Question

Write five rational numbers between -1 and -1.5

Answer 1

Hi.

$\text{To find 5 rational numbers between -1 and -1.5, multiply them by } \dfrac{5+1}{5+1}\\\\\\\text{or, } \dfrac{6}{6}\\\\\\-1 \times \dfrac{6}{6} = - \dfrac{6}{6}\\\\\\-1.5 \times \dfrac{6}{6} = - \dfrac{15 \times 6}{10 \times 6} = - \dfrac{90}{60}\\\\\\- \dfrac{6}{6} \: \text{can be written as } - \dfrac{6}{6} \times \dfrac{10}{10} \: or \: - \dfrac{60}{60}\\\\\\\text{Clearly, 5 rational numbers between -1 and -1.5 or } - \dfrac{60}{60} \: \: or \: - \dfrac{90}{60} \: \: are: \:$

$\boxed{- \dfrac{61}{60}, \: - \dfrac{62}{60}, \: - \dfrac{63}{60}, \: - \dfrac{64}{60} \: \: and \: - \dfrac{65}{60}, \: or, \:} \\\\\\\\\boxed{-1 \dfrac{1}{60}, \: -1 \dfrac{1}{30}, \: -1 \dfrac{1}{20}, \: -1 \dfrac{1}{15} \: \: and \: -1 \dfrac{1}{12}}$

Hope it helps.