7 / 15 < 14 / ... < 7 / 14
15/14(14/9-3/7)-15/14(14/6-3/7)
Ta có: \(\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}\right)-\frac{15}{14}\left(\frac{14}{6}-\frac{3}{7}\right)\)
\(=\frac{15}{14}\left[\left(\frac{14}{9}-\frac{3}{7}\right)-\left(\frac{14}{6}-\frac{3}{7}\right)\right]\)
\(=\frac{15}{14}\left(\frac{14}{9}-\frac{3}{7}-\frac{14}{6}+\frac{3}{7}\right)\)
\(=\frac{15}{14}\left(\frac{14}{9}-\frac{14}{6}\right)\)
\(=\frac{15}{14}\cdot\left(\frac{28}{18}-\frac{42}{18}\right)\)
\(=\frac{15}{14}\cdot\frac{-14}{18}\)
\(=\frac{-15}{18}=-\frac{5}{6}\)
rút gọn 5. (3. 7^15- 19. 7^14)/ 7^16+ 3. 7^14
\(\frac{5\cdot\left(3\cdot7^{15}-19\cdot7^{14}\right)}{7^{16}+3\cdot7^{14}}=\frac{5\cdot\left(3\cdot7-19\right)\cdot7^{14}}{\left(7^2+3\right)\cdot7^{14}}=\frac{5\cdot2\cdot7^{14}}{52\cdot7^{14}}=\frac{5\cdot2}{52}=\frac{5\cdot2}{26\cdot2}=\frac{5}{26}\)
Các phân số tối giản là:
A. 13/15, 7/11
B. 7/11, 14/22
C. 13/15, 9/15
D. 14/22, 9/15
tính 5/3 + 14/5 + 14/7 + 6/3 - 9/5 - 15/7
7/3 +7/14-7/15 phần 8/13+8/14-8/15 - 5/11-5/13+5/15 phần 8/11-8/13+8/15
GIÚP MÌNH VỚI NHA MÌNH ĐANG CẦN GẤP LẮM
\(\dfrac{\dfrac{7}{13}+\dfrac{7}{14}-\dfrac{7}{15}}{\dfrac{8}{13}+\dfrac{8}{14}-\dfrac{8}{15}}-\dfrac{\dfrac{5}{11}-\dfrac{5}{13}+\dfrac{5}{15}}{\dfrac{8}{11}-\dfrac{8}{13}+\dfrac{8}{15}}\)
\(=\dfrac{7\left(\dfrac{1}{13}+\dfrac{1}{14}-\dfrac{1}{15}\right)}{8\left(\dfrac{1}{13}+\dfrac{1}{14}-\dfrac{1}{15}\right)}-\dfrac{5\left(\dfrac{1}{11}-\dfrac{1}{13}+\dfrac{1}{15}\right)}{8\left(\dfrac{1}{11}-\dfrac{1}{13}+\dfrac{1}{15}\right)}\)
\(=\dfrac{7}{8}-\dfrac{5}{8}\)
\(=\dfrac{2}{8}=\dfrac{1}{4}\)
tham khảo nhé! Nhớ tick nhé.
https://olm.vn/hoi-dap/tim-kiem?id=1126722&subject=1&q=7%E2%80%8B%E2%80%8B+ph%E1%BA%A7n+13+x+7+ph%E1%BA%A7n+15+-+5+ph%E1%BA%A7n+12+x+21+ph%E1%BA%A7n+39+++49+ph%E1%BA%A7n+91+x+8+ph%E1%BA%A7n+15
manh mối vụ án
12 15 9 14 7 21 25 5 14 14 7 21 15 9 3 1
chìa khóa anh cả là số 1 (A=1)
nếu thay 1 là A thì ta có các số sau
A 2 A5 9 A4 7 2A 25 5 A4 7 2A A5 9 3 A
ê mà đề hỏi gì dạ
1. Tính
a. \(A=\dfrac{14}{8.11}+\dfrac{14}{11.14}+\dfrac{14}{14.17}+...+\dfrac{14}{197.200}\)
b. \(B=\dfrac{7}{15}+\dfrac{7}{35}+\dfrac{7}{63}+...+\dfrac{7}{399}\)
\(A=\dfrac{14}{8.11}+\dfrac{14}{11.14}+\dfrac{14}{14.17}+.....+\dfrac{14}{197.200}\)
\(A=\dfrac{14}{3}\left(\dfrac{1}{8}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{17}+...+\dfrac{1}{197}-\dfrac{1}{200}\right)\)
\(A=\dfrac{14}{3}.\left(\dfrac{1}{8}-\dfrac{1}{200}\right)\)
\(A=\dfrac{14}{3}.\dfrac{24}{200}=\dfrac{28}{25}\)
\(B=\dfrac{7}{15}+\dfrac{7}{35}+\dfrac{7}{63}+...+\dfrac{7}{399}\)
\(B=\dfrac{7}{3.5}+\dfrac{7}{5.7}+\dfrac{7}{7.9}+.....\dfrac{7}{19.21}\)
\(B=\dfrac{7}{2}\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+....+\dfrac{1}{19}-\dfrac{1}{21}\right)\)
\(B=\dfrac{7}{2}.\left(\dfrac{1}{3}-\dfrac{1}{21}\right)\)
\(B=\dfrac{7}{2}.\dfrac{6}{21}=1\)
a) 14.(-8)
b) (-5).6 – 15 + 7.(-3)
c) (-14).(-5) – (-7).(-3) + 35.(-2)
d) 10.(-2) – 6.(-7) – (-4)mn hlep
Điền dấu thích hợp vào chỗ chấm
9/14 ... 11/14 4/25 ... 4/23 5/6 ... 7/8 1 ... 14/15
8/9 ... 24/27 20/19 ... 20/27 8/7 ... 9/8 1 ...15/14
9/14 .<.. 11/14 4/25 .<.. 4/23 5/6 ..<. 7/8 1 ..>. 14/15
8/9 ..=. 24/27 20/19 ..>. 20/27 8/7 .>.. 9/8 1 .<..15/14
\(\dfrac{9}{14}< \dfrac{11}{14};\dfrac{8}{9}=\dfrac{24}{27}\)
\(\dfrac{4}{25}< \dfrac{4}{23};\dfrac{20}{19}>\dfrac{20}{27}\)
\(\dfrac{5}{6}< \dfrac{7}{8};\dfrac{8}{7}>\dfrac{9}{8}\)
\(1>\dfrac{14}{15};1< \dfrac{15}{14}\)
9/14 .<.. 11/14 4/25 .<.. 4/23 5/6 ..<. 7/8 1 ..>. 14/15
8/9 ..=. 24/27 20/19 ..>. 20/27 8/7 .>.. 9/8 1 .<..15/14