-48

\((-8)\cdot(12+14)+12\cdot(8-14)\\=-8\cdot12+(-8)\cdot14+12\cdot8+12\cdot(-14)\\=(-8\cdot12+12\cdot8)+8\cdot(-14)+12\cdot(-14)\\=-14\cdot(8+12)\\=-14\cdot20\\=-280\)

\(\left(-8\right).\left(12+14\right)+12.\left(8-14\right)\\ =-8.12-8.14+12.8-12.14\\ =\left(12.8-8.12\right)-14.\left(8+12\right)\\ =0-14.20=-280\)

(−8)⋅(12+14)+12⋅(8−14)=−8⋅12+(−8)⋅14+12⋅8+12⋅(−14)=(−8⋅12+12⋅8)+8⋅(−14)+12⋅(−14)=−14⋅(8+12)=−14⋅20=−280

\(\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{4}-\frac{5}{6}+\frac{5}{8}}\)

\(=\frac{\frac{1}{2}.\left(\frac{1}{4}-\frac{1}{6}+\frac{1}{8}\right)}{5\left(\frac{1}{4}-\frac{1}{6}+\frac{1}{8}\right)}\)

\(=\frac{\frac{1}{2}}{5}=\frac{1}{10}\)

Study well 

2/5 nhé bạn!

Có người vẫn chưa hiểu bản chất của phép tính à 

\(\frac{\frac{1}{2}}{5}\)

\(=\frac{1}{2}:5\)

\(=\frac{1}{2}.\frac{1}{5}\)

\(=\frac{1}{10}\)

giờ hiểu chứ 

=14/25+1/3+2/7-4/3+11/25

=(14/25+11/25)+(1/3-4/3)+2/7

=1+(-1)+2/7

=0+2/7

=2/7

14 + 13 -12 + 11 + 10 - 9 + 8 - 7 - 6 + 5 - 4 + 3 + 2 - 1 = 27

14+13-`12+11+10-9+8-7-6+5-4+3+2-1

=27

đ/s : 27

a) \(\frac{{ - 3}}{7}.\frac{2}{5} + \frac{2}{5}.\left( { - \frac{5}{{14}}} \right) - \frac{{18}}{{35}}\)

\(\begin{array}{l} = \frac{2}{5}.\left( {\frac{{ - 3}}{7} + \frac{{ - 5}}{{14}}} \right) - \frac{{18}}{{35}}\\ = \frac{2}{5}.\left( {\frac{{ - 6}}{{14}} + \frac{{ - 5}}{{14}}} \right) - \frac{{18}}{{35}}\\ = \frac{2}{5}.\frac{{ - 11}}{{14}} - \frac{{18}}{{35}} = \frac{{ - 11}}{{35}} - \frac{{18}}{{35}} =  \frac{{ -29}}{{35}}\end{array}\)

b) \(\left( {\frac{2}{3} - \frac{5}{{11}} + \frac{1}{4}} \right):\left( {1 + \frac{5}{{12}} - \frac{7}{{11}}} \right)\)

\(\begin{array}{l} = \left( {\frac{{2.11.4}}{{3.11.4}} - \frac{{5.3.4}}{{11.3.4}} + \frac{{1.3.11}}{{4.3.11}}} \right):\left( {\frac{11.12}{11.12} + \frac{{5.11}}{{12.11}} - \frac{{7.12}}{{11.12}}} \right)\\ = \left( {\frac{{88 - 60 + 33}}{{121}}} \right):\left( { \frac{{121+55 - 84}}{{121}}} \right)\\ = \frac{{61}}{{121}}:\frac{{92}}{{121}} = \frac{{61}}{{121}}.\frac{{121}}{{92}}= \frac{{61}}{{92}}\end{array}\)

c) \(\left( {13,6 - 37,8} \right).\left( { - 3,2} \right)\)

\( = \left( { - 24,2} \right).\left( { - 3,2} \right) = 77,44\)

d) \(\left( { - 25,4} \right).\left( {18,5 + 43,6 - 16,8} \right):12,7\)

\(\begin{array}{l} = \left( { - 25,4} \right).\left( {62,1 - 16,8} \right):12,7\\ = \left( { - 25,4} \right).45,3:12,7\\ = \left( { - 25,4} \right):12,7.45,3\\ =  (- 2).45,3 =  - 90,6\end{array}\)

a: \(=\dfrac{2}{5}\cdot\left(-\dfrac{3}{7}-\dfrac{5}{14}\right)-\dfrac{18}{35}\)

\(=\dfrac{2}{5}\cdot\dfrac{-6-5}{14}-\dfrac{18}{35}\)

\(=\dfrac{2}{5}\cdot\dfrac{-11}{14}-\dfrac{18}{35}=-\dfrac{22}{70}-\dfrac{18}{35}=\dfrac{-58}{70}=-\dfrac{29}{35}\)

b: \(=\dfrac{88-60+33}{132}:\dfrac{132+55-84}{132}\)

\(=\dfrac{61}{132}\cdot\dfrac{132}{103}=\dfrac{61}{103}\)

c: \(=-24.2\cdot\left(-3.2\right)=24.2\cdot3.2=77.44\)

d: \(=\dfrac{-25.4}{12.7}\cdot45.3=-2\cdot45.3=-90.6\)

-4/12 + 6/7 + 8/24

= (-4/12 + 8/24) + 6/7

= 0 + 6/7

= 6/7

\(-\frac{4}{12}+\frac{6}{7}+\frac{8}{24}\)

\(=-\frac{1}{3}+\frac{6}{7}+\frac{1}{3}\)

\(=\left(-\frac{1}{3}+\frac{1}{3}\right)+\frac{6}{7}\)

\(=0+\frac{6}{7}\)

\(=\frac{6}{7}\)

\(-\frac{4}{12}+\frac{6}{7}+\frac{8}{24}\)

\(=\left(-\frac{4}{12}+\frac{8}{24}\right)+\frac{6}{7}\)

\(=0+\frac{6}{7}=\frac{6}{7}\)

a) 2/9 - (1/20 + 2/9)

= 2/9 - 1/20 - 2/9

= (2/9 - 2/9) - 1/20

= 0 - 1/20

= -1/20

b) -3/14 + 2/13 + (-25/14) + (-15/13)

= (-3/14 - 25/14) + (2/13 - 15/13)

= -2 - 1

= -3

c) -3/11 + 11/8 - 3/8 + (-8/11)

= (-3/11 - 8/11) + (11/8 - 3/8)

= -1 + 1

= 0

d) 3/8 + (-1/4) - (7/12 - 1/6)

= 1/8 - 5/12

= -7/24

e) (1/3 + 12/67 + 13/41) - (79/67 - 28/41)

= 1/3 + 12/67 + 13/41 - 79/67 + 28/41

= 1/3 + (12/67 - 79/67) + (13/41 + 28/41)

= 1/3 - 1 + 1

= 1/3