Question

My answer came as 3 1/35 but the book says it is -3 1/35. Can anyone plz clarify if my answer is correct or the book answer is correct by showing step-by-step working?​

Answer 1

${\large{\pmb{\sf{\bigstar \:{\underline{Required \; Solution...}}}}}}$

Question:

${\small{\underline{\boxed{\sf{Subtract \: = 2\dfrac{3}{5} \: from \: \dfrac{-3}{7}}}}}}$

Solution:

${\small{\underline{\boxed{\sf{\bull \: \: Subtract \: = 2\dfrac{3}{5} \: from \: \dfrac{-3}{7}}}}}} \\ \\ :\implies \sf Subtract \: = 2\dfrac{3}{5} \: from \: \dfrac{-3}{7} \\ \\ :\implies \sf Subtract \: = \dfrac{13}{5} \: from \: \dfrac{-3}{7} \\ \\ :\implies \sf Subtract \: = \dfrac{-3}{7} - \dfrac{13}{5} \\ \\ \sf Taking \: LCM'(s) \\ \\ \sf The \: LCM \: we \: get \: is \: 35 \\ \\ \sf Now \: let \: us \: solve \\ \\ :\implies \sf \dfrac{-3}{7} - \dfrac{13}{5} \\ \\ :\implies \sf \dfrac{(5 \times - 3) - (7 \times 13)}{35} \\ \\ :\implies \sf \dfrac{(-15) - (91)}{35} \\ \\ :\implies \sf \dfrac{ - 15 - 91}{35} \\ \\ :\implies \sf \dfrac{-106}{35} \: \: or \: - 3 \dfrac{1}{35} \\ \\ {\small{\underline{\boxed{\sf{\bull \dfrac{-106}{35} \: \: or \: - 3 \dfrac{1}{35}}}}}}$

Analysis: Hello dear user! Book's solution is correct means you have to put "minus" sign here, it be "negative" not positive. I thought while changing the signs you mistakely put positive sign except of negative. Hope mine answer is helpful!