Question

which of the follwing rational numbers does not lie between 3/5and 4/5 ,7/10,19/30,2/3,16/30

Answer 1

$\frac{3 \times 2}{5 \times 2} = \frac{6}{10} and \: \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \\ \frac{7}{10 } lies \: between \\ \frac{3 \times 6}{5 \times 6} = \frac{18}{30} and \: \frac{4 \times 6}{5 \times 6} = \frac{24}{30} \\ \frac{19}{30} lies \: between \\ \frac{3 \times 3}{5 \times 3} = \frac{9}{15} and \: \frac{4 \times 3}{5 \times 3} = \frac{12}{15} \\ \frac{2 \times 5}{3 \times 5} = \frac{10}{15} lies \: between \\ we \: can \: see \: that \: \frac{16}{30} does \: not \: lie \: between$