\(\dfrac{8}{7}:\left(\dfrac{2}{9}-\dfrac{1}{18}\right)+\dfrac{7}{8}:\left(\dfrac{1}{36}-\dfrac{5}{12}\right)\)
\(=\dfrac{8}{7}:\left(\dfrac{4}{18}-\dfrac{1}{18}\right)+\dfrac{7}{8}:\left(\dfrac{1}{36}-\dfrac{15}{36}\right)\)
\(=\dfrac{8}{7}:\dfrac{1}{6}+\dfrac{7}{8}:\dfrac{-7}{18}\)
\(=\dfrac{8}{7}.6+\dfrac{7}{8}.\dfrac{-18}{7}\)
\(=\dfrac{129}{28}\)
Bài 1: Thực hiện phép tính sau:
\(a,\dfrac{9}{18}-\dfrac{-7}{12}+\dfrac{13}{32}\)
\(b,\dfrac{5}{-8}+\dfrac{14}{25}-\dfrac{6}{10}\)
\(\dfrac{\dfrac{2}{5}-\dfrac{2}{9}+\dfrac{2}{11}}{\dfrac{7}{5}-\dfrac{7}{9}+\dfrac{7}{11}}-\dfrac{\dfrac{1}{3}-}{1\dfrac{1}{6}-}\dfrac{\dfrac{1}{4}}{\dfrac{7}{8}+}\dfrac{+\dfrac{1}{5}}{0,7}\)
Thực hiện phép tính hợp lý (nếu có thể) :
a) (\(31\dfrac{6}{13}\) + \(5\dfrac{9}{41}\) ) - \(36\dfrac{6}{13}\)
b) \(\dfrac{5}{3}\) +( \(\dfrac{-2}{7}\) ) - (-1,2)
c) 0,25 + \(\dfrac{3}{5}\) - (\(\dfrac{1}{8}\) - \(\dfrac{2}{5}\) + \(1\dfrac{1}{4}\) )
a) \(\dfrac{5}{7}\)+\(\dfrac{3}{4}\).\(\dfrac{-11}{2}\)
b) (\(\dfrac{12}{17}\)+\(\dfrac{19}{7}\)) - (\(\dfrac{-5}{17}\)-\(\dfrac{3}{7}\))
c) (0,125)\(^{12}\).(-8)\(^{12}\)-\(\dfrac{45^3}{15^3}\)
d) \(5\dfrac{2}{7}\).(\(-\dfrac{1}{3}\))-\(2\dfrac{2}{7}\).(\(-\dfrac{1}{3}\))
e) \(\dfrac{9^2.9^3}{3^9}\)
Thực hiện phép tính (hợp lí nếu có thể):
a) \(13\dfrac{2}{7}\) : (\(\dfrac{-8}{9}\)) + \(2\dfrac{5}{7}\) : (\(\dfrac{-8}{9}\))
b) (\(\dfrac{-6}{11}\)) . \(\dfrac{7}{10}\) . (\(\dfrac{11}{-6}\)) . (-20)
c) (\(-1\dfrac{1}{2}\)) : \(\dfrac{3}{4}\) . (\(-4\dfrac{1}{2}\))
thực hiện phép tính:
1) \(\dfrac{-1}{12}\)- (2\(\dfrac{5}{8}\)- \(\dfrac{1}{3}\))
2) -1,75 - (\(\dfrac{-1}{9}\) - 2\(\dfrac{1}{18}\))
3) -\(\dfrac{5}{6}\) - (\(-\dfrac{3}{8}\)+\(\dfrac{1}{10}\))
4) \(\dfrac{2}{5}\)+(\(-\dfrac{4}{3}\))+(\(-\dfrac{1}{2}\))
5) \(\dfrac{3}{12}\)- (\(\dfrac{6}{15}\)- \(\dfrac{3}{10}\))
6) (\(8\dfrac{5}{11}\)+\(3\dfrac{5}{8}\))- \(3\dfrac{5}{11}\)
7) \(\dfrac{-1}{4}\). \(13\dfrac{9}{11}\)- 0,25 . \(6\dfrac{2}{11}\)
8) \(\dfrac{4}{9}\):(\(-\dfrac{1}{7}\))+ \(6\dfrac{5}{9}\): (\(-\dfrac{1}{7}\))
Tìm x, biết:
a) \(\dfrac{-1}{10}\) + \(\dfrac{2}{5}\)x + \(\dfrac{7}{20}\) = \(\dfrac{1}{10}\)
b) \(\dfrac{1}{3}\) + \(\dfrac{1}{2}\) : x= \(-\dfrac{1}{5}\)
c) \(-\dfrac{2}{3}\) : x + \(\dfrac{5}{8}\) = \(-\dfrac{7}{12}\)
a)x-\(\dfrac{2}{3}=\dfrac{8}{7}\)
b)\(\left(x+\dfrac{1}{3}\right)=\dfrac{4}{25}\)
c)\(-\dfrac{2}{3}\div x+\dfrac{5}{8}=-\dfrac{7}{12}\)
1. a) \(\dfrac{5}{3}\) . \(\dfrac{11}{7}\) - \(\dfrac{5}{7}\) . \(\dfrac{5}{3}\)
b) (0,125)\(^{16}\). (-8)\(^{16}\)
c) \(\dfrac{9^2.9^3}{3^9}\)
d) \(\dfrac{9}{24}\) - \(\dfrac{7}{41}\) + \(\dfrac{15}{24}\) + 0,75 - \(\dfrac{34}{41}\)
e) \(5\dfrac{2}{7}\) . ( \(-\dfrac{1}{3}\)) - \(2\dfrac{2}{7}\) . (\(-\dfrac{1}{3}\))
2. a) \(\dfrac{3}{4}\) + \(\dfrac{2}{3}x\) = \(\dfrac{1}{2}\)
b) (2x - 1)\(^2\) = 25
c) | x + 5 | - 6 = 9
