Tính :
\(B=\dfrac{45}{12\cdot21}+\dfrac{45}{21\cdot31}-\dfrac{40}{24\cdot34}-\dfrac{40}{34\cdot44}-\dfrac{40}{44\cdot54}-\dfrac{40}{54\cdot64}\)
Những câu hỏi liên quan
\(B=\frac{45}{12\cdot21}+\frac{45}{12\cdot31}-\frac{40}{24\cdot34}-\frac{40}{34\cdot44}-\frac{40}{44\cdot54}-\frac{40}{54\cdot64}\)
B=5(1/12−1/21+1/21−1/30)−5(1/24−1/34+1/34−1/44+1/44−1/54+1/54−1/64)
B=5(1/12−1/21+1/21−1/30+1/24−1/34+1/34−1/44+1/44−1/54+1/54−1/64 )
B=5(1/12−1/64)=5.13/192=65/192
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cho các biểu thức
A=\(\left(\frac{1}{8\cdot14}+\frac{1}{14\cdot20}+\frac{1}{20\cdot26}+...+\frac{1}{50\cdot56}\right)\)
\(B=\left(\frac{45}{12\cdot21}+\frac{45}{21\cdot30}+\frac{40}{24\cdot34}-\frac{40}{34\cdot44}-\frac{40}{44\cdot54}-\frac{40}{54\cdot64}\right)\)
Chứng minh rằng:\(\frac{A}{B}< \frac{1}{8}\)
Đề bài: So sánh các số hữu tỉ sau:a)dfrac{-13}{40}vàdfrac{12}{-40}b)dfrac{-5}{6}vàdfrac{-91}{104}c)dfrac{-15}{21}vàdfrac{-36}{44}d)dfrac{-16}{30}vàdfrac{-35}{84}e)dfrac{-5}{91}vàdfrac{-501}{9191}f)dfrac{-11}{3^7.7^3}vàdfrac{-78}{3^7.7^4}giúp mik nha!!!
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Đề bài: So sánh các số hữu tỉ sau:
a)\(\dfrac{-13}{40}và\dfrac{12}{-40}\)
b)\(\dfrac{-5}{6}và\dfrac{-91}{104}\)
c)\(\dfrac{-15}{21}và\dfrac{-36}{44}\)
d)\(\dfrac{-16}{30}và\dfrac{-35}{84}\)
e)\(\dfrac{-5}{91}và\dfrac{-501}{9191}\)
f)\(\dfrac{-11}{3^7.7^3}và\dfrac{-78}{3^7.7^4}\)
giúp mik nha!!!
a: \(\dfrac{-13}{40}< \dfrac{-12}{40}\)
\(\dfrac{-5}{6}>\dfrac{-91}{104}\)
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khoanh vào vào phân số bằng \(\dfrac{12}{27}\) \(\dfrac{25}{45}\), \(\dfrac{20}{45}\), \(\dfrac{40}{42}\), \(\dfrac{32}{72}\), \(\dfrac{15}{27}\)
\(\dfrac{20}{45};\dfrac{32}{72}\)
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A=(\(\dfrac{1}{8.14}+\dfrac{1}{14.20}+\dfrac{1}{20.26}+...+\dfrac{1}{50.56}\))
B=(\(\dfrac{45}{12.21}+\dfrac{45}{21.30}-\dfrac{40}{24.30}-\dfrac{40}{34.44}-\dfrac{40}{44.54}-\dfrac{40}{54.64}\))
Chứng minh:
\(\dfrac{A}{B}< \dfrac{1}{8}\)
Giúp mình với mình sắp kiểm tra rồi!!
\(A=\dfrac{1}{8.14}+\dfrac{1}{14.20}+\dfrac{1}{20.26}+...+\dfrac{1}{50.56}\)
\(A=\dfrac{1}{6}.\left(\dfrac{6}{8.14}+\dfrac{6}{14.20}+\dfrac{6}{20.26}+...+\dfrac{6}{50.56}\right)\)
\(A=\dfrac{1}{6}.\left(\dfrac{1}{8}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{20}+\dfrac{1}{20}-\dfrac{1}{26}+...+\dfrac{1}{50}-\dfrac{1}{56}\right)\)
\(A=\dfrac{1}{6}.\left(\dfrac{1}{8}-\dfrac{1}{56}\right)\)
\(A=\dfrac{1}{6}.\left(\dfrac{7}{56}-\dfrac{1}{56}\right)\)
\(A=\dfrac{1}{6}.\dfrac{6}{56}\)
\(A=\dfrac{1}{1}.\dfrac{1}{56}\)
\(A=\dfrac{1}{56}\)
\(B=\dfrac{45}{12.21}+\dfrac{45}{21.30}-\dfrac{40}{24.34}-\dfrac{40}{34.44}-\dfrac{40}{44.54}-\dfrac{40}{54.64}\)
\(B=5\left(\dfrac{9}{12.21}+\dfrac{9}{21.30}\right)-4\left(\dfrac{10}{24.34}+\dfrac{10}{34.44}+\dfrac{10}{44.54}+\dfrac{10}{54.64}\right)\)
\(B=5\left(\dfrac{1}{12}-\dfrac{1}{21}+\dfrac{1}{21}-\dfrac{1}{30}\right)-4\left(\dfrac{1}{24}-\dfrac{1}{34}+\dfrac{1}{34}-\dfrac{1}{44}+\dfrac{1}{44}-\dfrac{1}{54}+\dfrac{1}{54}-\dfrac{1}{64}\right)\)\(B=5\left(\dfrac{5}{60}-\dfrac{2}{60}\right)-4\left(\dfrac{1}{24}-\dfrac{1}{64}\right)\)
\(B=5.\dfrac{3}{60}-\left(\dfrac{4}{24}-\dfrac{4}{64}\right)\)
\(B=5.\dfrac{1}{20}-\left(\dfrac{1}{6}-\dfrac{1}{16}\right)\)
\(B=\dfrac{5}{20}-\left(\dfrac{8}{48}-\dfrac{3}{48}\right)\)
\(B=\dfrac{1}{4}-\dfrac{5}{48}\)
\(B=\dfrac{12}{48}-\dfrac{5}{48}\)
\(B=\dfrac{7}{48}\)
\(\dfrac{A}{B}=\dfrac{1}{56}:\dfrac{7}{48}\)
\(\dfrac{A}{B}=\dfrac{1}{56}.\dfrac{48}{7}\)
\(\dfrac{A}{B}=\dfrac{1}{7}.\dfrac{6}{7}\)
\(\dfrac{A}{B}=\dfrac{6}{49}=\dfrac{48}{392}< \dfrac{49}{392}=\dfrac{1}{8}\)
\(\dfrac{A}{B}< \dfrac{1}{8}\)
Vậy \(\dfrac{A}{B}< \dfrac{1}{8}\)
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SGK Cánh diều - Tập 2 - Trang 57
29 tháng 10 2023 lúc 22:29
Rút gọn rồi tính:
a) \(\dfrac{8}{18}+\dfrac{5}{3}\) b) \(\dfrac{8}{24}+\dfrac{4}{48}\) c) \(\dfrac{20}{15}-\dfrac{4}{45}\) d) \(\dfrac{40}{32}-\dfrac{1}{2}\)
a: \(\dfrac{8}{18}+\dfrac{5}{3}=\dfrac{4}{9}+\dfrac{5}{3}=\dfrac{4}{9}+\dfrac{15}{9}=\dfrac{4+15}{9}=\dfrac{19}{9}\)
b: \(\dfrac{8}{24}+\dfrac{4}{48}=\dfrac{1}{3}+\dfrac{1}{12}=\dfrac{4}{12}+\dfrac{1}{12}=\dfrac{4+1}{12}=\dfrac{5}{12}\)
c: \(\dfrac{20}{15}-\dfrac{4}{45}=\dfrac{4}{3}-\dfrac{4}{45}=\dfrac{60}{45}-\dfrac{4}{45}=\dfrac{60-4}{45}=\dfrac{56}{45}\)
d: \(\dfrac{40}{32}-\dfrac{1}{2}=\dfrac{5}{4}-\dfrac{1}{2}=\dfrac{5-2}{4}=\dfrac{3}{4}\)
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26 tháng 12 2022 lúc 18:00
tính:a) dfrac{-5}{13}+dfrac{8}{13} b) dfrac{5}{31}+dfrac{-22}{31} c) dfrac{-13}{43}+dfrac{-40}{43}d) dfrac{-3}{29}-dfrac{16}{58} e) dfrac{8}{40}-dfrac{-36}{45} f) dfrac{-8}{18}-dfrac{-15}{27} g)(-2)+dfrac{-5}{8}
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tính:
a) \(\dfrac{-5}{13}\)+\(\dfrac{8}{13}\) b) \(\dfrac{5}{31}\)+\(\dfrac{-22}{31}\) c) \(\dfrac{-13}{43}\)+\(\dfrac{-40}{43}\)
d) \(\dfrac{-3}{29}\)-\(\dfrac{16}{58}\) e) \(\dfrac{8}{40}\)-\(\dfrac{-36}{45}\) f) \(\dfrac{-8}{18}\)-\(\dfrac{-15}{27}\) g)(-2)+\(\dfrac{-5}{8}\)
ai có thể chỉ giúp tôi được ko vì tôi cần rất gấp
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\(a,\dfrac{-5}{13}+\dfrac{8}{13}=\dfrac{3}{13}\\ b,\dfrac{5}{31}+\dfrac{-22}{31}=\dfrac{-17}{31}\\ c,\dfrac{-13}{43}+\dfrac{-40}{43}=\dfrac{-53}{43}\\ d,\dfrac{-3}{29}-\dfrac{16}{58}=\dfrac{-11}{29}\\ e,\dfrac{8}{40}-\dfrac{-36}{45}=1\\ f,\dfrac{-8}{18}-\dfrac{-15}{27}=\dfrac{1}{9}\\ g,\left(-2\right)+\dfrac{-5}{8}=\dfrac{-21}{8}\)
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tinh nhanh
\(\dfrac{25}{100}+\dfrac{14}{21}-\dfrac{31}{62}-\dfrac{-15}{40}+\dfrac{-27}{45}-\dfrac{-36}{135}\)
SGK Kết nối tri thức với cuộc sống - Trang 69
24 tháng 8 2023 lúc 0:05
a) Số?
\(\dfrac{56}{42}=\dfrac{28}{?}=\dfrac{?}{3}\) \(\dfrac{16}{24}=\dfrac{2}{?}=\dfrac{?}{12}=\dfrac{40}{?}\)
b) Rút gọn các phân số: \(\dfrac{40}{25};\dfrac{63}{81};\dfrac{36}{60}\)
a) \(\dfrac{56}{42}=\dfrac{28}{21}=\dfrac{4}{3}\)
\(\dfrac{16}{24}=\dfrac{2}{3}=\dfrac{8}{12}=\dfrac{40}{60}\)
b) \(\dfrac{40}{25}=\dfrac{8}{5}\)
\(\dfrac{63}{81}=\dfrac{7}{9}\)
\(\dfrac{36}{60}=\dfrac{3}{5}\)
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