\(\dfrac{15}{11.14}+\dfrac{15}{14.17}+\dfrac{15}{17.20}+...+\dfrac{15}{68.71}\)
\(=5\left(\dfrac{1}{11}-\dfrac{1}{14}+\dfrac{1}{14}-\dfrac{1}{17}+\dfrac{1}{17}-\dfrac{1}{20}+...+\dfrac{1}{68}-\dfrac{1}{71}\right)\)
\(=5\left(\dfrac{1}{11}-\dfrac{1}{71}\right)\)
\(=5.\dfrac{60}{781}\)
\(=\dfrac{300}{781}\)
1. \(25\dfrac{1}{7}:\left(-\dfrac{5}{7}\right)-15\dfrac{1}{7}:\left(-\dfrac{5}{7}\right)+\dfrac{4}{5}\) 3. \(2\dfrac{2}{3}:\left\{\left[\left(3,72-0.02\right)\dfrac{10}{37}\right]:\dfrac{5}{6}+2,8\right\}-\dfrac{7}{15}\)
2. \(\left(3+\dfrac{4}{5}-\dfrac{5}{12}\right)\left(\dfrac{6}{7}-\dfrac{3}{5}\right)^2\)
4.23+3.\(\left(-\dfrac{1}{2}\right)^2\)-22.4+\(\left[\left(-2\right)^2:\dfrac{1}{2}\right]\)
Thực hiện phép tính hợp lí (nếu có thể):
A = \(\dfrac{11}{9}.\dfrac{-3}{2}-\dfrac{11}{9}.\dfrac{15}{2}+\left(-2021\right)^0\)
Trong các số sau ,số nào biểu diễn số hữu tỉ \(\dfrac{3}{-4}\)?
\(\dfrac{-12}{15};\dfrac{-15}{20};\dfrac{24}{-32};\dfrac{-20}{28};\dfrac{-27}{36}\)
Tính nhanh:
a, \(\dfrac{8}{9}-\dfrac{1}{72}-\dfrac{1}{56}-\dfrac{1}{42}-\dfrac{1}{30}-\dfrac{1}{20}-\dfrac{1}{12}-\dfrac{1}{6}-\dfrac{1}{2}\)
b, \(\left(-\dfrac{1}{4}+\dfrac{7}{35}-\dfrac{5}{3}\right)-\left(-\dfrac{15}{12}+\dfrac{6}{11}-\dfrac{48}{49}\right)\)
So sanh A va B :
A = \(\dfrac{-13}{21}\) Va B = \(\dfrac{9}{-14}\)
b ) A = \(\dfrac{99}{101}\) va B = \(\dfrac{2011}{2013}\)
c ) A= \(\dfrac{15^{11}+4
}{15^{11}+2}\) Va B = \(\dfrac{15^{21}+4}{15^{21}+2}\)
giúp mình với :(
Sử dụng tính chất bắc cầu để so sánh các phân số sau:
a) \(\dfrac{1997}{1996}và\dfrac{1996}{1997}\)
b) \(\dfrac{3}{5}và\dfrac{15}{13}\)
Tìm x:
a)\(\dfrac{11}{13}-\left(\dfrac{5}{42}-x\right)=-\left(\dfrac{15}{28}-\dfrac{11}{13}\right)\)
b)\(\left|x+\dfrac{4}{15}\right|-\left|-3.75\right|=-\left|2.15\right|\)
Tìm x biết:
\(\dfrac{3}{5}\cdot\left(2x-\dfrac{1}{3}\right)+\dfrac{4}{15}=\dfrac{12}{30}\).
\(\dfrac{40}{x-30}\)=\(\dfrac{20}{y-15}\)=\(\dfrac{28}{z-21}\)và x.y.z=22400
