Question

please answer this question and do not spam​

Answer 1

Answer:

$\large\underline\mathrm{Solution\:: -}$

$1)\longrightarrow$ $\dfrac{3}{5} \times \dfrac{2}{9} + \dfrac{1}{14} - \dfrac{2}{9} \times \dfrac{4}{5}$

$\Rightarrow$ $\dfrac{6}{45} + \dfrac{1}{14} - \dfrac{8}{45}$

$\Rightarrow$ $\dfrac{84 + 45 - 112}{630}$

$\Rightarrow$ $\dfrac{129 - 112}{630}$

$\Rightarrow$ $\dfrac{17}{630}$

$\therefore$ $The\ answer\: of\: this\: question\: is\: \dfrac{17}{630}$

$2)\longrightarrow$ $\dfrac{4}{7} \times \dfrac{2}{5} - \dfrac{3}{6} \times \dfrac{1}{2} + \dfrac{2}{5} \times \dfrac{3}{4}$

$\Rightarrow$ $\dfrac{8}{35} - \dfrac{3}{12} + \dfrac{6}{20}$

$\Rightarrow$ $\dfrac{96 - 105 + 126}{420}$

$\Rightarrow$ $\dfrac{96 + 21}{420}$

$\Rightarrow$ $\cancel{\dfrac{117}{420}}$

$\Rightarrow$ $\dfrac{39}{140}$

$\therefore$ $The\: answer\: of\: this\: question\:is\:\dfrac{39}{140}$

$3)\longrightarrow$ $\dfrac{8}{3} \times \dfrac{1}{5} + \dfrac{1}{2} \times \dfrac{8}{3} - \dfrac{2}{5}$

$\Rightarrow$ $\dfrac{8}{15} + \dfrac{8}{6} - \dfrac{2}{5}$

$\Rightarrow$ $\dfrac{16 + 40 - 12}{30}$

$\Rightarrow$ $\dfrac{56 - 12}{30}$

$\Rightarrow$ $\cancel{\dfrac{44}{30}}$

$\Rightarrow$ $\dfrac{22}{15}$

$\Rightarrow$ $1.466$

$\therefore$ $The\ answer \:of \:this\: question\: is\:1.466$

$4)\longrightarrow$ $\dfrac{- 3}{7} \times \dfrac{1}{2} + \dfrac{2}{3} - \dfrac{3}{7} \times \dfrac{1}{6}$

$\Rightarrow$ $\dfrac{- 3}{14} + \dfrac{2}{3} - \dfrac{3}{42}$

$\Rightarrow$ $\dfrac{- 9 + 28 - 3}{42}$

$\Rightarrow$ $\dfrac {19 - 3}{42}$

$\Rightarrow$ $\cancel{\dfrac{16}{42}}$

$\Rightarrow$ $\dfrac{8}{21}$

$\therefore$ $The\: answer\: of\: this\: question\: is\: \dfrac{8}{21}$

$5)\longrightarrow$ $\dfrac{6}{11} \times \dfrac{3}{5} + \dfrac{2}{7} - \dfrac{3}{5} \times \dfrac{2}{11}$

$\Rightarrow$ $\dfrac{18}{55} + \dfrac{2}{7} - \dfrac{6}{55}$

$\Rightarrow$ $\dfrac{126 + 110 - 42}{385}$

$\Rightarrow$ $\dfrac{236 - 42}{385}$

$\Rightarrow$ $\dfrac{194}{385}$

$\therefore$ $The\: answer\: of\: this\: question\: is\: \dfrac{194}{385}$