\(a,\frac{5}{6}+\frac{7}{12}-\frac{2}{3}\)

\(=\frac{10}{12}+\frac{7}{12}-\frac{8}{12}\)

\(=\frac{10+7-8}{12}\)

\(=\frac{9}{12}\)

\(=\frac{3}{4}\)

\(b,\frac{3}{4}-1\frac{1}{2}+50\%:\frac{5}{12}\)

\(=\frac{3}{4}-\frac{3}{2}+\frac{1}{2}:\frac{5}{12}\)

\(=\frac{3}{4}-\frac{6}{4}+\frac{1}{2}.\frac{12}{5}\)

\(=\frac{-3}{4}+\frac{6}{5}\)

\(=\frac{-15}{20}+\frac{24}{20}\)

\(=\frac{9}{20}\)

\(c,\frac{2}{7}.5\frac{1}{4}-\frac{2}{7}.3\frac{1}{4}\)

\(=\frac{2}{7}.\left(5\frac{1}{4}-3\frac{1}{4}\right)\)

\(=\frac{2}{7}.\left[\left(5-3\right)+\left(\frac{1}{4}-\frac{1}{4}\right)\right]\)

\(=\frac{2}{7}\left[2+0\right]\)

\(=\frac{2}{7}.2\)

\(=\frac{4}{7}\)

~Study well~

a ) 5/6 + 7/12 - 2/3 

= 17/12 - 2/3

= 3/4

b ) 3/4 - 1 1/2 + 50% : 5/12

= 3/4 - 1 1/2 + 50/100 : 5/12

= 3/4 - 3/2 + 1/2 : 5/12

= 3/4 - 3/2 + 1/2 . 12/5

= 3/4 - 3/2 + 6/5

= - 3/4 + 6/5 

= 9/20

c ) 2/7 . 5 1/4 - 2/7 . 3 1/4

= 2/7 . ( 5 1/4 - 3 1/4 )

= 2/7 . 2 

= 4/7

Học tốt!

a) 5/6+7/12-2/3                                          b)3/4-11/2+ 50%:5/12                                                                                                             =10/12+7/12-8/12                                 =3/4-11/2+1/2:5/12

=(10/12+7/12)-8/12                                     =9/12-66/12+6/12:5/12

=17/12-8/12                                               =9/12-66/12+6/5

=9/12                                                        =-57/12+6/5 

                                                                =-285/30+36/30

                                                                =-249/30=-8/3/10

c)2/7.51/4-2/7.31/4

=2/7.(51/4-31/4)

=2/7.5

=10/7

Bài 4 là:

\(\dfrac{1}{2.5}\) + \(\dfrac{1}{5.8}\) +....+\(\dfrac{1}{92.95}\) + \(\dfrac{1}{95.98}\)

                  Đúng không bạn

Bạn chỉ nên đưa câu khó lên vì làm cả đề thì ko làm kịp đc

a) 9/4

b)-18/40

a)2,25

b)-0.45

c)6,25

a)3/4x-1/3=-5/2

   3/4x      =-5/2+1/3

   3/4x      =-1/12

       x       =-1/12:3/4

       x       =-1/9

b)2 1/3:x=-4/5

   7/3:x   =-4/5

         x   =7/3:-4/5

        x    =-35/12

c)x-4/5=3/10

   x      =3/10+4/5

   x      =11/10

Chúc bạn hok tốt

x-4/5 = 3/10

=> 10(x - 4) = 5.3

=> 10x - 40 = 15

=> 10x = 55

=> x = 5,5

\(\frac{3}{4}x-\frac{1}{3}=\frac{-5}{12}\)

\(\frac{3}{4}x=\frac{-5}{12}+\frac{1}{3}\)

\(\frac{3}{4}x=\frac{-1}{12}\)

\(x=\frac{-1}{12}:\frac{3}{4}\)

\(x=\frac{-1}{9}\)

Số hạng trên là

( 1000 - 10 ) : 10 + 1 = 100 số hạng

Tổng trên là

( 1000 + 10 ) x 100 : 2 = 50500

Đáp số : 50500

\(2\left(x-3\right)+2^3=3^2.2\\ 2\left(x-3\right)=18-8\\ 2\left(x-3\right)=10\\ x-3=\dfrac{10}{2}\\ x-3=5\\ x=5+3\\ x=8\\ ----\\ 2^2.3-3\left(x-4\right)=2^3-2\\ 12-3\left(x-4\right)=6\\ 3\left(x-4\right)=12-6\\ 3\left(x-4\right)=6\\ x-4=6:3\\ x-4=2\\ x=2+4\\ x=6\\ ----\\ 7.2^2-4\left(2x+1\right)=2^3\\ 28-4\left(2x+1\right)=8\\ 4\left(2x+1\right)=28-8\\ 4\left(2x+1\right)=20\\ 2x+1=20:4\\ 2x+1=5\\ 2x=5-1\\ 2x=4\\ x=\dfrac{4}{2}=2\\ ---\\ 600-2\left(x-3\right)^8=11.2^3\\ 600-2\left(x-3\right)^8=88\\ 2\left(x-3\right)^8=600-88\\ 2\left(x-3\right)^8=512\\ \left(x-3\right)^8=\dfrac{512}{2}\\ \left(x-3\right)^8=256=2^8=\left(-2\right)^8\\ x-3=2.hoặc.x-3=-2\\ x=5.hoặc.x=1\)

chịu thánh này câu này dễ quá , phi thời gian

\(\left(-\dfrac{1}{2}\right)^2\div\dfrac{1}{4}-2\times\left(-\dfrac{1}{2}\right)^2\\= \dfrac{1}{4}\div\dfrac{1}{4}-2\times\dfrac{1}{4}\\ =1-\dfrac{1}{2}\\ =\dfrac{1}{2}\)

\(\left(-2\right)^3\times-\dfrac{1}{24}+\left(\dfrac{4}{3}-1\dfrac{5}{6}\right)\div\dfrac{5}{12}\)

=  \(-6\times-\dfrac{1}{24}+\left(\dfrac{4}{3}-\dfrac{11}{6}\right)\div\dfrac{5}{12}\)

=  \(\dfrac{1}{4}+-\dfrac{1}{2}\div\dfrac{5}{12}\)

=  \(\dfrac{1}{4}+-\dfrac{6}{5}\)

=  \(\dfrac{1}{4}-\dfrac{6}{5}\)

=  \(-\dfrac{19}{20}\)

\(\left(6\dfrac{4}{9}+\dfrac{7}{11}\right)-\left(4\dfrac{4}{9}-2\dfrac{4}{11}\right)\\ =\dfrac{58}{9}+\dfrac{7}{11}-\dfrac{40}{9}+\dfrac{26}{11}\\ =\dfrac{58}{9}-\dfrac{40}{9}+\dfrac{7}{11}+\dfrac{26}{11}\\ =12+3\\ =15\)

\(a,\left(\dfrac{-1}{2}\right)^2:\dfrac{1}{4}-2\left(-\dfrac{1}{2}\right)^2\)

\(=\left(-\dfrac{1}{2}\right)^2\left(4-2\right)\)

\(=\dfrac{1}{4}.2=\dfrac{1}{2}\)

\(b,\left(-2\right)^3.\dfrac{-1}{24}+\left(\dfrac{4}{3}-1\dfrac{5}{6}\right):\dfrac{5}{12}\)

\(=\left(-8\right).\dfrac{-1}{24}+\left(-\dfrac{1}{2}\right).\dfrac{12}{5}\)

\(=\dfrac{1}{3}+\left(-\dfrac{1}{5}\right)=\dfrac{2}{15}\)

\(c,\left(6\dfrac{4}{9}+\dfrac{7}{11}\right)-\left(4\dfrac{4}{9}-2\dfrac{4}{11}\right)\)

\(=\dfrac{701}{99}-\dfrac{206}{99}=\dfrac{495}{99}=5\)

\(d,10\dfrac{1}{5}-5\dfrac{1}{2}.\dfrac{60}{11}+\dfrac{3}{15\%}\)

\(=\dfrac{51}{5}-30+20=\dfrac{1}{5}\)

\(e,\dfrac{5}{7}.\dfrac{5}{11}+\dfrac{5}{7}.\dfrac{2}{11}-\dfrac{5}{7}.\dfrac{14}{11}\)

\(=\dfrac{5}{7}\left(\dfrac{5}{11}+\dfrac{2}{11}-\dfrac{14}{11}\right)=\dfrac{5}{7}.\left(-\dfrac{7}{11}\right)\)

\(=-\dfrac{5}{11}\)

\(f,\dfrac{-5}{7}.\dfrac{2}{11}+\left(-\dfrac{5}{7}\right).\dfrac{9}{11}+1\dfrac{5}{7}\)

\(=\left(-\dfrac{5}{7}\right)\left(\dfrac{2}{11}+\dfrac{9}{11}\right)+\dfrac{12}{7}\)

\(=\left(-\dfrac{5}{7}\right)+\dfrac{12}{7}=1\)

\(10\dfrac{1}{5}-5\dfrac{1}{2}\times\dfrac{60}{11}+3\div15\%\\ =\dfrac{51}{5}-\dfrac{11}{2}\times\dfrac{60}{11}+3\div\dfrac{15}{100}\\ =\dfrac{51}{5}-30+20\\ =10,2-30+20\\ =0,2\)

\(\dfrac{5}{7}\times\dfrac{5}{11}+\dfrac{5}{7}\times\dfrac{2}{11}-\dfrac{5}{7}\times\dfrac{14}{11}\\ =\dfrac{5}{7}\times\left(\dfrac{5}{11}+\dfrac{2}{11}-\dfrac{14}{11}\right)\\ =\dfrac{5}{7}\times-\dfrac{7}{11}=-\dfrac{5}{11}\)

\(-\dfrac{5}{7}\times\dfrac{2}{11}+-\dfrac{5}{7}\times\dfrac{9}{11}+1\dfrac{5}{7}\\ =-\dfrac{5}{7}\times\dfrac{2}{11}+-\dfrac{5}{7}\times\dfrac{9}{11}+\dfrac{12}{7}\\ =-\dfrac{5}{7}\times\left(\dfrac{2}{11}+\dfrac{9}{11}\right)+\dfrac{12}{7}\\ =-\dfrac{5}{7}\times1+\dfrac{12}{7}\\ =1\)