CÁCH 1:  

\(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}=\frac{17}{35}+\frac{34}{105}=\frac{17}{21}\)

CÁCH 2:

\(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}=\frac{17}{21}\times(\frac{3}{5}+\frac{2}{5})=\frac{17}{21}\times1=\frac{17}{21}\)

Cách 1:

\(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}\)

\(=\frac{3\times17}{5\times21}+\frac{17\times2}{21\times5}\)

\(=\frac{17}{5\times7}+\frac{34}{105}\)

\(=\frac{17}{35}+\frac{34}{105}\)

\(=\frac{17\times3}{35\times3}+\frac{34}{105}\)

\(=\frac{51+34}{105}\)

\(=\frac{85}{105}\)

\(=\frac{17}{21}\)

Cách 2:

\(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}\)

\(=\frac{17}{21}\times\left(\frac{3}{5}+\frac{2}{5}\right)\)

\(=\frac{17}{21}\times1\)

\(=\frac{17}{21}\)

a: \(=\dfrac{3}{22}\cdot22\cdot\dfrac{3}{11}=3\cdot\dfrac{3}{11}=\dfrac{9}{11}\)

b: \(=\dfrac{5}{6}\cdot\dfrac{2}{5}=\dfrac{1}{3}\)

c: =17/21(3/5+2/5)=17/21

nhanh lên

a: \(=\dfrac{3}{22}\cdot22\cdot\dfrac{3}{11}=3\cdot\dfrac{3}{11}=\dfrac{9}{11}\)

b: \(=\dfrac{5}{6}\cdot\dfrac{2}{5}=\dfrac{1}{3}\)

c: \(=\dfrac{17}{21}\left(\dfrac{3}{5}+\dfrac{2}{5}\right)=\dfrac{17}{21}\)

a : = \(\dfrac{3}{22}\). 22 . \(\dfrac{3}{11}\) = 3 . \(\dfrac{3}{11}\) = \(\dfrac{9}{11}\)

b : = \(\dfrac{5}{6}\). \(\dfrac{2}{5}\) = \(\dfrac{1}{3}\)

c: = \(\dfrac{17}{21}\)(\(\dfrac{3}{5}\) + \(\dfrac{2}{5}\)   ) = \(\dfrac{17}{21}\)

3/22 x 33/11 x 22= 3/22 x22 x 3=3 x 3=9

3/5 x 17/21 + 17/21 + 2/5= 17/21(3/5 + 2/5)= 17/21x 1=17/21

(1/2+1/3)2/5=1/2x2/5+1/3x2/5 =1/5+2/15=1/3

Giúp tớ vớiiiiii

Trình bày hết ra thì dài lắm. Mình nói cái chính rồi bạn làm nốt.

Cách 1 ở tất cả các câu: Tính bình thường như đề cho

 a)   Cách 2: \(\frac{5}{7}\times\frac{3}{4}+\frac{5}{7}\times\frac{1}{2}\)

 b) Cách 2: \(\frac{13}{21}\times\left(\frac{5}{7}+\frac{2}{7}\right)\)

c) Cách 2: \(\frac{2}{5}\times\frac{1}{2}+\frac{2}{5}\times\frac{1}{3}\)

d) Cách 2: \(\frac{17}{21}\times\left(5+\frac{2}{5}\right)\)

a) \(\dfrac{3}{5}\times\dfrac{17}{21}+\dfrac{2}{5}\times\dfrac{17}{21}\)

\(=\dfrac{17}{21}\times\left(\dfrac{3}{5}+\dfrac{2}{5}\right)\)

\(=\dfrac{17}{21}\times1\)

\(=\dfrac{17}{21}\)

b) \(\dfrac{11}{19}\times\dfrac{2}{7}+\dfrac{5}{7}\times\dfrac{11}{19}\)

\(=\dfrac{11}{19}\times\left(\dfrac{2}{7}+\dfrac{5}{7}\right)\)

\(=\dfrac{11}{19}\times1\)

\(=\dfrac{11}{19}\)

a: =17/21(3/5+2/5)

=17/21*5/5

=17/21

b: =11/19(2/7+5/7)

=11/19*1

=11/19

a) C1 : \(\left(\frac{1}{2}+\frac{1}{3}\right)\times\frac{2}{5}=\left(\frac{3}{6}+\frac{2}{6}\right)\times\frac{2}{5}\)

                                               \(=\frac{5}{6}\times\frac{2}{5}\)

                                                \(=\frac{10}{30}=\frac{1}{3}\)

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

                                            \(=\frac{1}{5}+\frac{2}{15}\)

                                            \(=\frac{3}{15}+\frac{2}{15}\)

                                            \(=\frac{5}{15}=\frac{1}{3}\)

b) C1 : \(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}=\frac{17}{35}+\frac{34}{105}\)

                                                           \(=\frac{51}{105}+\frac{34}{105}\)

                                                           \(=\frac{85}{105}=\frac{17}{21}\)

C2 : \(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}=\frac{17}{21}\times\left(\frac{3}{5}+\frac{2}{5}\right)\)

                                                       \(=\frac{17}{21}\times1=\frac{17}{21}\)

Cảm ơn Vũ Huyền nhé

Các bạn giúp mình giải 4 bài trên kia với

a c1 (1/2+1/3)x2/5

=5/6x2/5

=1/3

c2 1/2 x2/5+1/3x2/5

=1/5+2/15

=1/3

a) Cách 1 :

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

= \(\left(\frac{3}{6}+\frac{2}{6}\right)\times\frac{2}{5}\)

= \(\frac{5}{6}\times\frac{2}{5}\)

= \(\frac{10}{30}=\frac{1}{3}\)

Cách 2 :

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

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

= \(\frac{2}{10}+\frac{2}{15}\)

= \(\frac{10}{30}=\frac{1}{3}\)

b) Cách 1 :

\(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}\)

= \(\frac{51}{105}+\frac{34}{105}\)

= \(\frac{85}{105}=\frac{17}{21}\)

Cách 2 : 

\(\frac{3}{5}\times\frac{17}{21}+\frac{17}{21}\times\frac{2}{5}\)

= \(\left(\frac{3}{5}+\frac{2}{5}\right)\times\frac{17}{21}\)

= \(1\times\frac{17}{21}\)

= \(\frac{17}{21}\)

Nếu đúng thì mọi người t i c k em nhé:3