\(\dfrac{7}{5}\times\dfrac{11}{24}\times\dfrac{5}{7}\times\dfrac{24}{55}\\ =\left(\dfrac{7}{5}\times\dfrac{5}{7}\right)\times\left(\dfrac{11}{24}\times\dfrac{24}{55}\right)\\ =1\times\dfrac{1}{5}\\ =\dfrac{1}{5}\)

\(\dfrac{7x11x5x24}{5x24x7x55}\)=\(\dfrac{11}{55}\)=\(\dfrac{1}{5}\)

= (7/5 x 5/7) x (11/24 x 24/55)

= 1 x 1/5

= 1/5

\(\frac{5x8x24x27}{8x15x9x7}=\frac{5x8x24x9x3}{8x5x3x9x7}=\frac{24}{7}\)

Chúc bạn học tốt.

😁😁😁

Ta tính thuận tiện bằng cách phân tích các thừa số để bỏ thừa số chung:

\(\frac{5\text{x}8\text{x}24\text{x}27}{8\text{x}15\text{x}9\text{x}7}=\frac{5\text{x}8\text{x}3\text{x}8\text{x}3\text{x}3\text{x}3}{8\text{x}3\text{x}5\text{x}3\text{x}3\text{x}7}\)

\(=\frac{8\text{x}3}{7}\)

\(=\frac{24}{7}\)

5/11.5/7+2/7.5/11

=5/11.(5/7+2/7)

=5/11

15 x 7/15 x 4/9

=7 x 4/9

=28/9

5/11

28/9

a) 15 / 17 x 4 / 7 + 15 / 17 x 3 / 7

= 15 / 17 x (4 / 7 + 3 / 7)

=15 / 17 x 1=15 / 17 

b) 29 / 12 : 1 / 2 - 5 / 12 :1 / 2 

=29 / 12  x2 - 5 / 12 x 2 

=(29 / 12 - 5 / 12)x2

=2x2=4

a) 15 / 17 x 4 / 7 + 15 / 17 x 3 / 7

= 15 / 17 x (4 / 7 + 3 / 7)

=15 / 17 x 1=15 / 17 

b) 29 / 12 : 1 / 2 - 5 / 12 :1 / 2 

=29 / 12  x2 - 5 / 12 x 2 

=(29 / 12 - 5 / 12)x2

=2x2=4

chúc bạn học tốt !

a) 2/3 : 3/5 × 5/7 : 2/3

= 2/3 × 5/3 × 5/7 × 3/2 

= 25/21

b) 1 1/2 × 1 1/3 × 1 1/18 × 1 1/15 × 1 1/24 × 1 1/35

= 3/2 × 4/3 × 19/18 × 16/15 × 25/24 × 36/35

= 2 × 152/35 × 15/14

= 304/35 × 15/14

= 152/7

\(a.60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)

\(=60\times\left(\frac{35}{60}+\frac{16}{60}\right)\)

\(=60\times\frac{51}{60}\)

\(=51\)

\(b.\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\)

\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)

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

\(\frac{5}{6}.\frac{8}{7}+\frac{5}{7}.\frac{2}{3}\)

\(=\frac{5}{7}.\frac{8}{6}+\frac{5}{7}.\frac{2}{3}\)

\(=\frac{5}{7}\left(\frac{8}{6}+\frac{2}{3}\right)\)

\(=\frac{5}{7}\left(\frac{8}{6}+\frac{4}{6}\right)\)

\(=\frac{5}{7}.2=\frac{10}{7}\)

đáp án 10/7

5/6 x 8/7 + 5/7 x 2/3

= [ 8/7 + 5/7 ] x [ 5/6 + 2/3 ]

=13/7 x 3/2 =39/14