\(\frac{5}{6}-\left(\frac{2}{5}+\frac{1}{3}\right)\)

\(=\frac{5}{6}-\frac{11}{15}\)

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

tíc mình nha

\(\frac{5}{6}-\left(\frac{2}{5}+\frac{1}{3}\right)=\frac{5}{6}-\frac{11}{15}=\frac{1}{10}\)

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

=\(\frac{5}{6}\)-\(\frac{11}{15}\)

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

Chuc ban hoc gioi!

=\(\frac{36-4+3}{6}-\frac{30+10-9}{6}-\frac{18-14+15}{6}\)

=\(\frac{35}{6}-\frac{31}{6}-\frac{19}{6}=\frac{35-31-19}{6}-\frac{15}{6}=-\frac{5}{2}\)

bài này thì dễ:

\(\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)

Cách 1:

\(\frac{35}{6}-\frac{31}{6}-\frac{19}{6}=\frac{35-31-19}{6}=-\frac{15}{6}=-\frac{5}{2}\)

Cách 2: 

\(6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}=-2\frac{1}{2}=-\frac{5}{2}\)

Cách 1 :

\(A=\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)

\(=\left(\frac{36-4+3}{6}\right)-\left(\frac{30+10-9}{6}\right)-\left(\frac{18-14+15}{8}\right)\) 

\(=\frac{35}{6}-\frac{31}{6}-\frac{19}{6}=-\frac{15}{6}=-\frac{5}{2}\)

Cách 2 : \(\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)

\(=6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)

\(=\left(6-5-3\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)+\left(-\frac{2}{3}-\frac{5}{3}+\frac{7}{3}\right)\)

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

số số hạng:(100-1):1+1=100

tổng dãy số trên là:(100+1).100:2=5050

Số các số hạng là:(100-1):1+1=100(số)

Tổng là:(100+1)x100:2=5050

k cho mk nha

số số:(100-1):1=1=100

trung binh cong:(100+1):2=50,5

100*50,5=5050

đáp số :

\(C1.\)      \(\left(\frac{1}{3}+\frac{1}{5}\right)\times\frac{1}{2}\)

\(=\left(\frac{5}{15}+\frac{3}{15}\right)\times\frac{1}{2}\)

\(=\frac{8}{15}\times\frac{1}{2}\)

\(=\frac{8}{30}=\frac{4}{15}\)

\(C2\)   \(\left(\frac{1}{3}+\frac{1}{5}\right)\times\frac{1}{2}\)

\(=\frac{1}{3}\times\frac{1}{2}+\frac{1}{5}\times\frac{1}{2}\)

\(=\frac{1}{6}+\frac{1}{10}\)

\(=\frac{5}{30}+\frac{3}{30}\)

\(=\frac{8}{30}=\frac{4}{15}\)

Cách 1 : (175+29070):5=29245:5

                                       =5849

Cách 2 : (175+29070):5=175:5+29070:5

                                       =35+5814

                                       5849

#Huyền#

a)

Cách 1 

3/4*1/2*2

=3/8*2

=3/4

Cách 2

3/4*1/2*2

=3/4*(1/2*2)

=3/4*1

=3/4

b)

Cách 1

(3/4+1/2)*5/7

=5/4*5/7

=25/28

Cách 2

(3/4+1/2)*5/7

=3/4*5/7+5/7*1/2

=15/28+5/14

=25/28

c)

Cách 1

5/7*13/21+2/7*13/21

=65/147+26/147

=13/21

cách 2

5/7*13/21+2/7*13/21

=13/21*(2/7+5/7)

=13/21*1

=13/21

3:3/4:4/5

giúp mik vs

\(E=1-2+3-4+5-6+7-8+...+99-100+101\)

\(E=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+\left(7-8\right)+...+\left(99-100\right)+101\)(Có 50 cặp)

\(E=\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)+...+\left(-1\right)+101\)(Có 50 số -1)

\(E=\left(-1\right).50+101\)

\(E=\left(-50\right)+101\)

\(E=51\)

E=45 nhé

nhầm 51 nhé

\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}=\frac{1}{2}+\left(-\frac{1}{3}+\frac{1}{3}\right)+\left(-\frac{1}{4}+\frac{1}{4}\right)-\frac{1}{5}=\frac{1}{2}-\frac{1}{5}=\frac{3}{10}\)

= 1/2 - 1/5  = 2/5  (giải thích chút nha -1/3+ 1/3 = 0 ; -1/4 + 1/4 = 0 và sau khi quy đồng ta được kq như tớ đã tính)