Question

Simplify:- ~~~~~~~


`\displaystyle{ \rm{ - ( 2)/(5) - ( - ( 3)/(10)) - ( - (4)/(7)) }}`
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Answer 1

`\\ \rm\rightarrowtail (-2)/(5)-\left(-(3)/(10)\right)-\left(-(4)/(7)\right)`

• (-)(-)=(+)

`\\ \rm\rightarrowtail (-2)/(5)+(3)/(10)+(4)/(7)`

`\\ \rm\rightarrowtail (-28+21+40)/(70)`

`\\ \rm\rightarrowtail (-7+40)/(70)`

`\\ \rm\rightarrowtail (33)/(70)`

Answer 2

`\sf \dashrightarrow \: - (2)/(5) - ( - (3)/(10) ) - ( - (4)/(7) )`

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

`\sf \dashrightarrow \: - (2)/(5) + (3)/(10) + (4)/(7)`

Calculate the LCM of denominators

`\sf( - 28 + 21 + 40)/(70)`

Calculate the difference

`\bf \underline{ \underline (33)/(70) }`