Question

bỏ ngoặc:

\(\left(-\dfrac{1}{4}+\dfrac{7}{33}-\dfrac{5}{3}\right)-\left(-\dfrac{15}{12}+\dfrac{6}{11}-\dfrac{48}{49}\right)\)

Answer 1

`(-1/4 +7/33-5/3)-(-15/12+6/11-48/49)`

`=(-1/4+7/33-5/3)-(-5/4+6/11-48/49)`

`=-1/4+7/33-5/3+5/4-6/11 +48/49`

`=(-1/4+5/4) + 7/33 - 5/3 - 6/11 + 48/49`

`=4/4+ 7/33 - 5/3 - 6/11 + 48/49`

`=1+ 7/33 - 5/3 - 6/11 + 48/49`

`=1+(7/33-5/3-6/11)+48/49`

`=1+(7/33 - 55/33 - 18/33)+48/49`

`=1-2+48/49`

`=-1+48/49`

`=-49/49+48/49`

`=-1/49`

Answer 2

\(=\dfrac{-1}{4}+\dfrac{7}{33}-\dfrac{5}{3}+\dfrac{5}{4}-\dfrac{6}{11}+\dfrac{48}{49}\)

\(=1+\dfrac{7}{33}-\dfrac{55}{33}-\dfrac{18}{33}+\dfrac{48}{49}\)

\(=1-2+\dfrac{48}{49}=-\dfrac{1}{49}\)