Question

using appropriate properties of rational Number solve it -2/3×3/5+5/2-3/5​

Answer 1

Answer:

$\huge \sf \underline{given \ \: : }$

$\sf \frac{ - 2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5}$

$\sf \huge \underline{solution \ \: : }$

$\sf \underline{step - 1}$

$\sf \to( \frac{ - 2}{3} \times \frac{3}{5} ) + (\frac{5}{2} - \frac{3}{5} )$

$\purple{ \fbox{we \: can \: cancel \: 3 \: in \: both \:sides}}$

$\sf \underline {step - 2}$

$\sf \to( \frac{ - 2}{ + 5} ) + ( \frac{5}{2} - \frac{3}{5} )$

$\purple {\fbox{lcm \: of \: 2,5 \: is \: (10) \: }}$

$\sf \underline{step - 3}$

$\sf \to( \frac{ - 2}{ + 5} ) + \frac{25 - 6}{10}$

$\sf \to \frac{ - 2}{ \: \: \: \:5} + \frac{21}{10}$

$\purple {\fbox{lcm \: of \: 5 ,10\: is \: (10) \: }}$

$\sf \underline{step - 4}$

$\sf \to (\frac{ - 2}{ \: \: \: 5 }) + ( \frac{21}{10} )$

$\sf \to (\frac{ - 2}{ + 5} \times \frac{2}{2} ) + ( \frac{21}{10} \times \frac{1}{1} )$

$\sf \to( \frac{ - 4}{10} ) + ( \frac{21}{10})$

$\purple {\fbox{now \: we \: can \: add \: this\: }}$

$\sf \underline{step - 5}$

$\sf \to( \frac{ - 4}{10}) + (\frac{21}{10} )$

$\sf \to \frac{ - 4 + 21}{10}$

$\sf \to \frac{17}{10}$

$\red{\fbox{=>1.7}}$

Step-by-step explanation: