Math, asked by kramesh77, 11 months ago

simplify the expression 1-3/7-9/2+3/4-(1/2-3/4)​

Answers

Answered by Anonymous
106

Answer:

 \boxed{-  \frac{41}{14} }

Step-by-step explanation:

Simplify  \: the \:  following:  \\  =  > 1 -  \frac{3}{7}  -  \frac{9}{2}  +  \frac{3}{4}   - ( \frac{1}{2}  -  \frac{3}{4} ) \\  \\ Put  \:  \frac{1}{2}  -  \frac{3}{4}   \: over  \: the \:  common \:  denominator  \: 4 :  \\  \frac{1}{2}  -  \frac{3}{4}  =  \frac{2}{4}  -  \frac{3}{4}  :  \\  =  > 1 -  \frac{3}{7}  -  \frac{9}{2}  +  \frac{3}{4}  -  \boxed{\frac{2}{4}  -  \frac{3}{4}} \\  \\ \frac{2}{4}  -  \frac{3}{4} =  \frac{2 - 3}{4}  :  \\  =  > 1 -  \frac{3}{7}  -  \frac{9}{2}  +  \frac{3}{4}  -  \boxed{ \frac{2 - 3}{4}} \\  \\ 2 - 3 =  - 1 :  \\  =  > 1 -  \frac{3}{7}  -  \frac{9}{2}  +  \frac{3}{4}  - \frac{ \boxed{ - 1}}{4}  \\  \\  - ( - 1) = 1 : \\  =  >  1 -  \frac{3}{7}  -  \frac{9}{2}  +  \frac{3}{4} +  \boxed{ \frac{1}{4} } \\  \\ Put \: 1 -  \frac{3}{7}  -  \frac{9}{2}  +  \frac{3}{4} + \frac{1}{4}  \: over  \: the  \: common \\ denominator  \: 28 :  \\ 1 -  \frac{3}{7}  -  \frac{9}{2}  +  \frac{3}{4} + \frac{1}{4}  =  \frac{28}{28}  +  \frac{4( - 3)}{28}  +  \frac{14( - 9)}{28}  +  \frac{7  \times 3}{28}  +  \frac{7}{28}  :  \\  =  >  \frac{28}{28}  +  \frac{4( - 3)}{28}  +  \frac{14( - 9)}{28}  +  \frac{7  \times 3}{28}  +  \frac{7}{28}  \\

  \\ 4( - 3) =  - 12 :  \\  =  > \frac{28}{28}  +  \frac{ \boxed{ - 12}}{28}  +  \frac{14( - 9)}{28}  +  \frac{7  \times 3}{28}  +  \frac{7}{28}  \\  \\ 14( - 9) =  - 126 :  \\  =  > \frac{28}{28}   -  \frac{12}{28}  +  \frac{ \boxed{ - 126}}{28}  +  \frac{7  \times 3}{28}  +  \frac{7}{28}  \\  \\ 7 \times 3 = 21 : \\  =  >  \frac{28}{28}   -  \frac{12}{28}   -  \frac{126}{28}  +  \frac{ \boxed{21}}{28}  +  \frac{7}{28}  \\  \\ \frac{28}{28}   -  \frac{12}{28}   -   \frac{126}{28}  +  \frac{21}{28}  +  \frac{7}{28}  =  \frac{28 - 12 - 126 + 21 + 7}{28}   :  \\  =  >   \frac{28 - 12 - 126 + 21 + 7}{28}  \\  \\ 28 - 12 - 126 + 21 + 7 = (28 + 21 + 7) - (12 + 126) :  \\  =  >  \frac{ \boxed{(28 + 21 + 7) - (12 + 126)}}{28}  \\  \\ 28 + 21 + 7 = 56 :  \\  =  >  \frac{ \boxed{56} - (12 + 126)}{28}  \\  \\ 12 + 126 = 138 :  \\  =  >  \frac{56 -  \boxed{138}}{28}  \\  \\ 56 - 138 =  - (138 - 56) :  \\  =  >  \frac{ \boxed{- (138 - 56)}}{28}  \\  \\ 138 - 56 = 82 :  \\  =  >  \frac{ -  \boxed{82}}{28}  \\ \\  =  >  \frac{ - (2 \times 41)}{2 \times 14}  \\ \\  =  >  \frac{ \cancel{2}} { \cancel{2}}  \times ( -  \frac{41}{14} ) \\ \\ \\  =  >  -  \frac{41}{14}

Answered by MonikaRc
2

Hi sis

enna pannuriga ??

Gud Evening...

^_^

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