\(\dfrac{38}{11}+\left(\dfrac{16}{13}+\dfrac{6}{11}\right)\\ =\dfrac{38}{11}+\dfrac{16}{13}+\dfrac{6}{11}\\ =\left(\dfrac{38}{11}+\dfrac{6}{11}\right)+\dfrac{16}{13}\\ =\dfrac{44}{11}+\dfrac{16}{13}\\ =4+\dfrac{16}{13}\\ =\dfrac{52}{13}+\dfrac{16}{13}\\ =\dfrac{68}{13}\\ \dfrac{3}{4}:\dfrac{3}{5}-\dfrac{1}{5}\\ =\dfrac{3}{4}\times\dfrac{5}{3}-\dfrac{1}{5}\\ =\dfrac{5}{4}-\dfrac{1}{5}\\ =\dfrac{25-4}{20}\\ =\dfrac{21}{20}\)

Phép tính 1:

\(\dfrac{38}{11}+\left(\dfrac{16}{13}+\dfrac{6}{11}\right)\)

\(=\left(\dfrac{38}{11}+\dfrac{6}{11}\right)+\dfrac{16}{13}\)

\(=4+\dfrac{16}{13}=\dfrac{4\cdot13+16}{13}\)(Dấu "." trong phép tính là dấu nhân)

\(=\dfrac{68}{13}\)

Phép tính 2:

\(\dfrac{3}{4}:\dfrac{3}{5}-\dfrac{1}{5}\)

\(=\dfrac{3}{4}\cdot\dfrac{5}{3}-\dfrac{1}{5}\)

\(=\dfrac{\left(3\cdot5\right):3\cdot5}{\left(4\cdot3\right):3\cdot5}-\dfrac{1\cdot4}{5\cdot4}\)

\(=\dfrac{25}{20}-\dfrac{4}{20}\)

\(=\dfrac{21}{20}\)

a) 5

b) 11/6

a, 64 . 23 + 37 . 23  - 23 

= 23. (64 + 37  - 1) 

= 23 . 100

=2300 

b, 33,76 + 19,52 + 6,24 

= (33,76 + 6,24) + 19,52 

= 40 + 19,52 

= 59,52 

c, 38/11 + (16/13 + 6/11) 

 = 38/11 + 16/13 + 6/11 

= (38/11 + 6/11) + 16/13 

= 4 + 16/13 

= 52/13 + 16/13 

= 68/13 

d, 3/4 : 3/5 - 1/5 

= 3/4 . 5/3 - 1/5 

= 5/4 - 1/5 

= 25/20 - 4/20 

= 21/20

e, \(5\frac{3}{4}\div\frac{12}{13}+6\frac{1}{4}\div\frac{12}{13}\)

\(=\frac{23}{4}\cdot\frac{13}{12}+\frac{25}{4}\cdot\frac{13}{12}\)

\(=\frac{13}{12}\cdot\left(\frac{23}{4}+\frac{25}{4}\right)\)

\(=\frac{13}{12}\cdot12=13\)

f, S = 1 + 2 + 3 + 4 + ... + 99 + 100 

Số số hạng của S là : 

(100 - 1) : 1 + 1 = 100 (số hạng) 

Tổng của S là : 

(1 + 100) . 100 : 2 = 5050

Vậy S = 5050 

Dấu " . " là dấu nhân nhé :D 

\(A=\dfrac{5}{11}.\dfrac{5}{7}+\dfrac{5}{11}.\dfrac{2}{7}+\dfrac{6}{11}=\dfrac{5}{11}\left(\dfrac{5}{7}+\dfrac{2}{7}\right)+\dfrac{6}{11}=\dfrac{5}{11}.1+\dfrac{6}{11}=\dfrac{5}{11}+\dfrac{6}{11}=\dfrac{11}{11}=1\)

\(B=\dfrac{3}{13}.\dfrac{6}{11}+\dfrac{3}{13}.\dfrac{9}{11}-\dfrac{3}{13}.\dfrac{4}{11}=\dfrac{3}{13}\left(\dfrac{6}{11}+\dfrac{9}{11}-\dfrac{4}{11}\right)=\dfrac{3}{13}.1=\dfrac{3}{13}\)

\(C=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right)\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right)\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right).0=0\)

5866680 nha

ai cha biet bang day nhung khong biet cach lam mat noi

a/64 x 23 + 37 x 23 - 23 + 6,24
= ( 64 + 37 - 1 ) x 23 + 6,24
= 100 x 23 + 6,24
= 2300 + 6,24
= 2306,24
b/33,76 + 19,52 + 6,24
= ( 33,76 + 6,24 ) + 19,52
= 40 + 19,52
= 59,52
c/\(\dfrac{38}{11}+\left(\dfrac{16}{13}+\dfrac{6}{11}\right)\)
\(=\dfrac{38}{11}+\dfrac{16}{13}+\dfrac{6}{11}\)
\(=\left(\dfrac{38}{11}+\dfrac{6}{11}\right)+\dfrac{16}{13}\)
\(=4+\dfrac{16}{13}\)
\(=\dfrac{52}{13}+\dfrac{16}{13}\)
\(=\dfrac{68}{13}\)
d/\(\dfrac{3}{4}:\dfrac{3}{5}-\dfrac{1}{5}\)
\(=\dfrac{3}{4}\times\dfrac{5}{3}-\dfrac{1}{5}\)
\(=\dfrac{5}{4}-\dfrac{1}{5}\)
\(=\dfrac{25}{20}-\dfrac{4}{20}\)
\(=\dfrac{21}{20}\)
#AvoidMe

vì \(\frac{11}{24}< \frac{1}{2};\frac{23}{44}>\frac{1}{2}\Rightarrow\frac{11}{24}< \frac{23}{24}\)

nhầm 11/24<23/44

a) \(\dfrac{122}{123}\) và \(\dfrac{10}{11}\)

\(1-\dfrac{122}{123}=\dfrac{1}{123}\)              

\(1-\dfrac{10}{11}=\dfrac{1}{11}\)

Vì \(\dfrac{1}{123}< \dfrac{1}{11}\) nên ⇒ \(\dfrac{122}{123}< \dfrac{10}{11}\) 

b) \(\dfrac{16}{12}\) và \(\dfrac{99}{100}\)

\(\dfrac{16}{12}>1\) và \(\dfrac{99}{100}< 1\)

⇒ \(\dfrac{16}{12}>\dfrac{99}{100}\)

c) \(\dfrac{35}{70}\) và \(\dfrac{6}{11}\)

\(\dfrac{35}{70}=\dfrac{1}{2}\) = \(\dfrac{6}{12}\)

Vì \(\dfrac{6}{12}< \dfrac{6}{11}\) nên ⇒ \(\dfrac{35}{70}< \dfrac{6}{11}\)