Chọn B

B

b

\(\frac{5\cdot\left(3\cdot7^{15}-19\cdot7^{14}\right)}{7^{16}+3\cdot7^{14}}=\frac{5\cdot\left(3\cdot7-19\right)\cdot7^{14}}{\left(7^2+3\right)\cdot7^{14}}=\frac{5\cdot2\cdot7^{14}}{52\cdot7^{14}}=\frac{5\cdot2}{52}=\frac{5\cdot2}{26\cdot2}=\frac{5}{26}\)

\(\dfrac{5}{12}+1\dfrac{5}{7}+\dfrac{7}{2}-\dfrac{5}{7}-\dfrac{19}{14}\)

\(=-1+1+\dfrac{7}{2}\)

\(=\dfrac{7}{2}\)

Học sinh nhẩm và ghi kết quả như sau:

7 x 5 = 35

7 x 6 = 42

7 x 2 = 14

7 x 4 = 28

35 : 7 =5

42 : 7 = 6

14 : 7 = 2

28: 7 =4

35 : 5 = 7

42 : 6 = 7

14 : 2 = 7

28 : 4 = 7

Ta có: \(\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}\right)-\frac{15}{14}\left(\frac{14}{6}-\frac{3}{7}\right)\)

\(=\frac{15}{14}\left[\left(\frac{14}{9}-\frac{3}{7}\right)-\left(\frac{14}{6}-\frac{3}{7}\right)\right]\)

\(=\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}-\frac{14}{6}+\frac{3}{7}\right)\)

\(=\frac{15}{14}\left(\frac{14}{9}-\frac{14}{6}\right)\)

\(=\frac{15}{14}\cdot\left(\frac{28}{18}-\frac{42}{18}\right)\)

\(=\frac{15}{14}\cdot\frac{-14}{18}\)

\(=\frac{-15}{18}=-\frac{5}{6}\)

22/7 : 33/14 = 4/3

36/7 : 7/3 = 108/49

7/3 : 14/3 = 1/2

=22/7x14/33=4/3

= 36/7 x 3/7 = 108/49

B

B

B

7 x 2 = 14       7 x 4 = 28       7 x 6 = 42       7 x 3 = 21

2 x 7 = 14       4 x 7 = 28       6 x 7 = 42       3 x 7 = 21

14 : 7 = 2       28 : 7 = 4       42 : 7 = 6       21 : 7 = 3

14 : 2 = 7       28 : 4 = 7       42 : 6 = 7       21 : 3 = 7

\(\dfrac{7}{15}< \dfrac{14}{a}< \dfrac{7}{14}\Rightarrow\dfrac{14}{30}< \dfrac{14}{a}< \dfrac{14}{28}\\ \Rightarrow a=29\)

Vậy số đó là \(\dfrac{14}{29}\)

1429

14/29 nha cậu

9/5 : 7/4 + 3/4 x 8/7       

= (9/5 : 8/7) x (7/4 + 3/4)

= 63/40 x 5/2

= 63/16

7 x 3/14 - 1/14

= 3/2 - 1/4

= 5/4

_{^{\(\dfrac{9}{5}:\dfrac{7}{4}+\dfrac{3}{4}\times\dfrac{8}{7}\)}}

_{^{\(=\dfrac{9}{5}\times\dfrac{4}{7}+\dfrac{3}{4}\times\dfrac{8}{7}\)}}

_{^{\(=\dfrac{36}{35}+\dfrac{6}{7}\)}}

_{^{\(=\dfrac{66}{35}\)}}

_{^{\(7\times\dfrac{3}{14}-\dfrac{1}{14}\)}}

_{^{\(=\dfrac{3}{2}-\dfrac{1}{14}\)}}

_{^{\(=\dfrac{10}{7}\)}}