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a) \(0,2\cdot\dfrac{15}{36}-\left(\dfrac{2}{5}+\dfrac{2}{3}\right):1\dfrac{1}{5}\)
\(=\dfrac{1}{12}-\dfrac{16}{15}\cdot\dfrac{5}{6}\)
\(=\dfrac{1}{12}-\dfrac{8}{9}\)
\(=\dfrac{-29}{36}\)
b) \(1\dfrac{13}{15}\cdot0,75-\left(\dfrac{8}{15}+0,25\right)\cdot\dfrac{24}{27}\)
\(=\dfrac{28}{15}\cdot0,75-\dfrac{47}{60}\cdot\dfrac{24}{27}\)
\(=\dfrac{7}{5}-\dfrac{94}{135}\)
\(=\dfrac{19}{27}\)
c) \(5:\left(4\dfrac{3}{4}-1\dfrac{25}{28}\right)-1\dfrac{3}{8}:\left(\dfrac{3}{8}+\dfrac{9}{20}\right)\)
\(=5\cdot\dfrac{7}{20}-\dfrac{11}{8}\cdot\dfrac{40}{33}\)
\(=\dfrac{7}{4}-\dfrac{5}{3}\)
\(=\dfrac{1}{12}\)

Bài 1:
a: \(A=\dfrac{1\left(\dfrac{1}{13}-\dfrac{1}{17}-\dfrac{1}{23}\right)}{2\left(\dfrac{1}{13}-\dfrac{1}{17}-\dfrac{1}{23}\right)}\cdot\dfrac{\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}}{\dfrac{7}{6}-\dfrac{7}{8}+\dfrac{7}{10}}+\dfrac{6}{7}\)
\(=\dfrac{1}{2}\cdot\dfrac{2}{7}+\dfrac{6}{7}=\dfrac{1}{7}+\dfrac{6}{7}=1\)
b: \(B=2000:\left[\dfrac{\dfrac{2}{5}-\dfrac{2}{9}+\dfrac{2}{11}}{\dfrac{7}{5}-\dfrac{7}{9}+\dfrac{7}{11}}\cdot\dfrac{-\dfrac{7}{6}+\dfrac{7}{8}-\dfrac{7}{10}}{\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{5}}\right]\)
\(=2000:\left[\dfrac{2}{7}\cdot\dfrac{-7}{2}\right]=-2000\)
c: \(C=10101\cdot\left(\dfrac{5}{111111}+\dfrac{1}{111111}-\dfrac{4}{111111}\right)\)
\(=10101\cdot\dfrac{2}{111111}=\dfrac{2}{11}\)

a)\(\left(\frac38+\frac{-3}{4}+\frac{7}{12}\right):\frac56+\frac12\)
=\(\left(\frac{9}{24}+\frac{-18}{24}+\frac{14}{24}\right)\times\frac65+\frac12\)
=\(\frac{5}{24}\times\frac65+\frac12\)
=\(\frac14+\frac12\)
=\(\frac14+\frac24\)
=\(\frac34\)
b)\(\frac12+\frac34-\left(\frac34-\frac45\right)\)
=\(\frac12+\frac34-\frac34+\frac45\)
=\(\left(\frac12+\frac45\right)+\left(\frac34-\frac34\right)\)
=\(\left(\frac{5}{10}+\frac{8}{10}\right)+0\)
=\(\frac{13}{10}\)

Tham khảo:
Câu hỏi của luu khanh van - Toán lớp 7 | Học trực tuyến

\(a,\left(38+-34+712\right):56+12\)
\(=\left(4+712\right):56+12\)
\(=716:56+12\)
\(=\frac{179}{14}+12\)
\(=\frac{347}{14}\)
\(b,12+34-\left(34-45\right)\)
\(=12+34--11\)
\(=46--11\)
\(=57\)
\(c,6512:234+1114\cdot\left(13-15\right)\)
\(=6512:234+1114\cdot-2\)
\(=\frac{3256}{117}+-2228\)
\(=\frac{-257420}{117}\)
\(d,\left(78-34\right)\cdot113-27\cdot\left(3,5\right)^2\)
\(=44\cdot113-27\cdot\frac{49}{4}\)
\(=4972-\frac{1323}{4}\)
\(=\frac{18565}{4}\)
\(e,\left(35+0,415-3200\right)\cdot223\cdot0,25\)
\(=-3164,585\cdot223\cdot0,25\)
\(=-176425,6138\)
\(f,516:0,125-\left(214-0,6\right)\cdot1011\)
\(=516:0,125-213,4\cdot1011\)
\(=4128-215747,4\)
\(=-211619,4\)
\(g,0,25:\left(10,3-9,8\right)-34\)
\(=\frac{1}{4}:\frac{1}{2}-34\)
\(=\frac{1}{2}-34\)
\(=\frac{-67}{2}\)
\(h,11315\cdot0,75-\left(1120+25\%\right):73\)
\(=11315\cdot0,75-\frac{4481}{4}:73\)
\(=\frac{33945}{4}-\frac{4481}{292}\)
\(=\frac{618376}{73}\)
\(k,23+27-114-1-37+328\)
\(=50-114-1-37+328\)
\(=-64-1-37+328\)
\(=-65-37+328\)
\(=-102+328\)
\(=226\)
MK CHUC BAN HOC TOT :))

a) \(5.2^4+2.3^3-3,4\)
\(=5.2.2^3+2.3^3-3,4\)
\(=2.40+2.27-3,4\)
\(=2\left(40+37\right)-3,4\)
\(=2.77-4,3\)
\(=154-4,3=149,7\)
b) \(\dfrac{\dfrac{1}{3}-0,25+0,2}{1\dfrac{1}{6}-0,875+0,7}=\dfrac{2\left(\dfrac{1}{6}-0,125+\dfrac{1}{10}\right)}{7\left(\dfrac{1}{6}-0,125+\dfrac{1}{10}\right)}=\dfrac{2}{7}\)
a. \(5.2^4+2.3^3-3,4\)
\(=5.2^3.2+2.27-3,4\)
\(=2.\left(40+27\right)-3,4\)
\(=2.67-3,4\)
= 134 - 3,4 = 130,6
Ta có: \(202,5:0,2+202,5:0,25+202,5\)
\(=202,5\cdot5+202,5\cdot4+202,5\)
\(=202,5\cdot\left(5+4+1\right)\)
\(=202,5\cdot10=2025\)
\(202,5:0,2+202,5:0,25+202,5\)