Chọn B

B

b

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

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

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

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

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

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

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

1/3-(-2/7+1/3)
= 1/3 + 2/7 - 1/3
= (1/3 - 1/3) + 2/7
= 2/7

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

Vậy số đó là \(\dfrac{14}{29}\)

1429

14/29 nha cậu

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

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

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

B

B

B

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

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

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

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

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

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

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

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

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

Phương pháp giải:

Trừ nhẩm các số rồi điền kết quả vào chỗ trống.

Lời giải chi tiết:

14 − 7 = 7                14 − 9 = 5

14 − 8 = 6                14 − 6 = 8

14 − 0 = 14              14 − 5 = 9

14 − 10 = 4              14 − 4 = 10

14 - 7 = 7           14 - 8 = 6       14 - 0 = 14               14 - 10 = 4          14 - 9 = 5       14 - 6 = 8      14 - 5 = 9              14 - 4 = 10

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