Tìm \(x\), biết :
a) \(x-\dfrac{1}{4}=\dfrac{5}{8}.\dfrac{2}{3}\)
b) \(\dfrac{x}{126}=\dfrac{-5}{9}.\dfrac{4}{7}\)
Làm tính nhân :
a) \(\dfrac{-1}{3}.\dfrac{5}{7}\)
b) \(\dfrac{-15}{16}.\dfrac{8}{-25}\)
c) \(\dfrac{-21}{24}.\dfrac{8}{-14}\)
Nhân các phân số (chú ý rút gọn nếu có thể)
a) \(\dfrac{-1}{4}.\dfrac{1}{3}\)
b) \(\dfrac{-2}{5}.\dfrac{5}{-9}\)
c) \(\dfrac{-3}{4}.\dfrac{16}{17}\)
d) \(\dfrac{-8}{3}.\dfrac{15}{24}\)
e) \(\left(-5\right).\dfrac{8}{15}\)
g) \(\dfrac{-9}{11}.\dfrac{5}{18}\)
Thực hiện phép tính( hợp lí nếu có thể)
\(\dfrac{-3}{5}:\dfrac{7}{5}-\dfrac{3}{5}:\dfrac{7}{5}+2\dfrac{3}{5}\)
Câu 1 :\(\dfrac{-5}{7}.\dfrac{7}{-45}\);\(\dfrac{-3}{10}.\left(-30\right)\);\(-12.\dfrac{-2}{36}\)
Câu 2: \(\dfrac{3}{4}+\dfrac{1}{8}.\dfrac{-16}{5};\dfrac{7}{15}-\dfrac{18}{21}.\dfrac{7}{9}\)
Câu 3: \(\left(\dfrac{-5}{9}+\dfrac{3}{5}\right).\dfrac{3}{10};\left(\dfrac{3}{9}-\dfrac{2}{5}\right).\dfrac{-3}{10}\)
Câu 4: \(\left(\dfrac{3}{7}+\dfrac{1}{3}\right).\left(\dfrac{1}{8}-\dfrac{1}{2}\right);\left(\dfrac{-9}{12}-\dfrac{16}{30}\right).\left(\dfrac{-18}{22}-\dfrac{6}{11}\right)\)
Càn gấp
\(A.\dfrac{-15}{28}x\dfrac{7}{25}\\ B.\dfrac{-5}{14}x\dfrac{7}{-3}\\ C.\dfrac{-1}{5}-\dfrac{7}{15}x\dfrac{9}{35}\\ D.\dfrac{-3}{4}-(\dfrac{-1}{2})^2\\ E.\dfrac{-4}{5}-\dfrac{-4}{5}x\dfrac{15}{16}\\F.(\dfrac{3}{4}+\dfrac{-7}{2})x(\dfrac{2}{11}+\dfrac{12}{22})\)
B4: Tính nhanh:
a, \(12.\dfrac{-7}{11}.\dfrac{5}{6}.\dfrac{22}{7}\)
b, \(\dfrac{-8}{15}.\dfrac{7}{9}.\dfrac{5}{8}.\left(-18\right)\)
Tính một cách hợp lý:
a\(\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)...\left(\dfrac{1}{100}-1\right)\)) \(x:\dfrac{99}{100}:\dfrac{98}{99}:...:\dfrac{2}{3}:\dfrac{1}{2}\)
b) \(\dfrac{5-\dfrac{5}{3}+\dfrac{5}{9}-\dfrac{5}{27}}{8-\dfrac{8}{3}+\dfrac{8}{9}-\dfrac{8}{27}}:\dfrac{15-\dfrac{15}{11}+\dfrac{15}{121}}{16-\dfrac{16}{11}+\dfrac{16}{121}}\)
c) \(\dfrac{\dfrac{1}{9}-\dfrac{5}{6}-4}{\dfrac{7}{12}-\dfrac{1}{36}-10}\)
d) \(\left(\dfrac{1}{2}+1\right)\left(\dfrac{1}{3}+1\right)...\left(\dfrac{1}{99}+1\right)\)
e)
Tính :
a) \(\dfrac{2}{3}+\dfrac{1}{5}.\dfrac{10}{7}\)
b) \(\dfrac{7}{12}-\dfrac{27}{7}.\dfrac{1}{18}\)
c) \(\left(\dfrac{23}{41}-\dfrac{15}{82}\right).\dfrac{41}{25}\)
d) \(\left(\dfrac{4}{5}+\dfrac{1}{2}\right).\left(\dfrac{3}{13}-\dfrac{8}{13}\right)\)