Question

Find 10 rational numbers between ⅗ and 2/7.​

Answer 1

$take \: 7 \: and \: 5 \: for \: finding \: lcm.$

$so \: the \: lcm \: of \: 7 \: and \: 5 \: is \: 35.$

$Then,$

$\frac{2 \times 5}{7 \times 5} = \frac{10}{35} = = = = = = equation \: 1$

$\frac{3 \times 7}{5 \times 7} = \frac{21}{35} = = = = = = equation \: 2$

$This \: step \: is \: because, \: we \: have \\ find \: the \: LCM \: as \: 35. \: So \: the \\ deniminator \: should \: come \: as \: 35. \\ </p><p>Therefore \: we \: have \: multiplied \\ 7 \: and \: 5 \: in \: equation \: 1 \: and \: 2 \: for \\ getting \: the \: denominator \: as \: 35.$

$Therefore \: the \: numbers \: between \: \\ \frac{10}{35} and \: \frac{21}{35} \: \: are \: \\ \\ \frac{11}{35} , \frac{12}{35} , \frac{13}{35} , \frac{14}{35} , \frac{15}{35} , \frac{16}{35} , \frac{17}{35} , \frac{18}{35} , \\ \frac{19}{35} , \frac{20}{35}$