1\(\frac{1}{2003.2002}-\frac{1}{2002.2001}-......-\frac{1}{1.2}\)
1) Chứng minh: \(\dfrac{1}{n+\left(n+1\right)}=\dfrac{1}{n}-\dfrac{1}{n+1}\)
2) Áp dụng tính tổng: A= \(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{99.100}\)
Giúp mình nha. Mình cảm ơn trước.
Tính bằng cách hợp lí nhất :
1/ \(\left(\frac{4}{9}-\frac{5}{11}\right):\frac{3}{10}+\left(\frac{3}{9}-\frac{9}{11}\right):\frac{3}{10}-\left(\frac{2}{9}-\frac{2}{8}\right).\frac{-10}{3}\)
2/ \(\frac{1}{2}.\frac{1}{-3}+\frac{1}{-3}.\frac{1}{4}+\frac{1}{4}.\frac{1}{-5}+\frac{1}{-5}.\frac{1}{6}\)
3/ \(-\frac{7}{4}\left(\frac{33}{12}+\frac{3333}{2020}+\frac{333333}{303030}+\frac{33333333}{42424242}\right)\)
Tính nhanh:
\(\frac{9-\frac{1}{11}-\frac{2}{12}-\frac{3}{13}-...-\frac{91}{101}}{\frac{1}{55}+\frac{1}{60}+\frac{1}{65}+...+\frac{1}{505}}\)
\(\frac{\left(\frac{3}{10}-\frac{4}{15}-\frac{7}{20}\right).\frac{5}{19}}{\left(\frac{1}{14}+\frac{1}{7}-\frac{-3}{5}\right).\frac{-4}{3}}\)
Giúp mik vs :< mai mik học r
\(\frac{\frac{1}{9}-\frac{1}{39}+\frac{1}{63}}{\frac{1}{12}-\frac{1}{52}+\frac{1}{84}}\)
Giúp mình ik các bạn cute~
1. Thực hiện phép tính sau một cách hợp lí:
A=\(\frac{\frac{3}{7}-\frac{3}{17}+\frac{3}{37}}{\frac{5}{7}-\frac{5}{17}+\frac{5}{37}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{\frac{7}{5}-\frac{7}{4}+\frac{7}{3}-\frac{7}{2}}\)
a)\(1\frac{4}{23}+\frac{5}{21}-\frac{4}{23}+0,5+\frac{16}{21}\)
b)\(\frac{3}{7}.19.\frac{1}{3}-\frac{3}{7}.33\frac{1}{3}\)
c)\(15\frac{1}{4}:(\frac{-5}{7})-25\frac{1}{4}:(\frac{-5}{7})\)
bài 1:
a, (-\(2\frac{1}{5}\)).(\(\frac{-9}{11}\)).(-1\(\frac{1}{14}\)).\(\frac{2}{5}\)
b, [\(\frac{5}{3}\)- (-\(\frac{1}{4}\)): 1\(\frac{1}{5}\)]: (\(\frac{5}{8}\)+\(\frac{9}{4}\))
c,-66. (\(\frac{1}{2}\)- \(\frac{1}{3}\)+ \(\frac{1}{11}\))+124. -37+ 63. (-123)
d, C= \(\frac{\frac{1}{3}-\frac{1}{7}-\frac{1}{13}}{\frac{2}{3}-\frac{2}{7}-\frac{2}{13}}\). \(\frac{\frac{1}{3}-0,25+0,2}{1\frac{1}{6}-0,875+0,7}\)+ \(\frac{6}{7}\)
e, D= (\(\frac{1}{4}\)-1). (\(\frac{1}{9}\)-1).(\(\frac{1}{16}\)-1)....(\(\frac{1}{81}\)-1).(\(\frac{1}{100}\)-1)
bài 2:
a, x: (\(\frac{2}{9}\)-\(\frac{1}{5}\))=\(\frac{8}{16}\)
b,(2x-1).(2x+3)=0
c,\(\frac{4-3x}{2x+5}\)=0
d,(x-2). (x+\(\frac{2}{3}\))≥0
e, \(\frac{x-2}{3x+2}\)<0
MỌI NGƯỜI LÀM NHANH GIÚP MÌNH VỚI. MÌNH ĐANG CẦN GẤP TRONG 3H CHIỀU NAY
Tính giá trị biểu thức sau:
\(\frac{0,125-\frac{1}{5}+\frac{1}{7}}{0,375-\frac{3}{5}+\frac{3}{7}}\)+\(\frac{\frac{1}{2}+\frac{1}{3}-0,2}{\frac{3}{4}+0,5-\frac{3}{10}}\)