Tính
\(3\frac{1}{1117}.\frac{4}{1119}-1\frac{1116}{1117}.5\frac{1118}{1119}-\frac{5}{1119}\)
tính :
\(\frac{9}{10}+\frac{39}{40}+\frac{87}{88}+...+\frac{1119}{1120}\)
Đặt A=\(\frac{9}{10}+\frac{39}{40}+...+\frac{1119}{1120}\)
=>A=\(\frac{10-1}{10}+\frac{40-1}{40}+...+\frac{1120-1}{1120}\)
=>A=\(1-\frac{1}{10}+1-\frac{1}{40}+...+1-\frac{1}{1120}\)
=>A=\(11-\left(\frac{1}{10}+\frac{1}{40}+...+\frac{1}{1120}\right)\)
Đặt B=\(\frac{1}{10}+\frac{1}{40}+...+\frac{1}{1120}\)
=>3B=\(\frac{3}{10}+\frac{3}{40}+...+\frac{3}{1120}\)
=>3B=\(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{32}-\frac{1}{35}\)
=>3B=\(\frac{33}{70}\)
=>B=\(\frac{11}{70}\)
=>A=11-\(\frac{11}{70}\)
=>A=\(\frac{759}{70}\)
Tính: \(\frac{9}{10}+\frac{39}{40}+\frac{87}{88}+...+\frac{1119}{1120}\)
Tìm A :
1 / A = ( 1 -\(\frac{1}{3}\)) + ( 1 - \(\frac{1}{15}\)) + ( 1 - \(\frac{1}{35}\)) + ( 1 - \(\frac{1}{63}\))
2 / A = ( 1 -\(\frac{1}{10}\)) + ( 1 - \(\frac{1}{40}\)) + ( 1 - \(\frac{1}{88}\)) + ( 1 - \(\frac{1}{154}\))
3 / A = \(\frac{2}{3}+\frac{14}{15}+\frac{34}{35}+....+\frac{9998}{9999}\)
4 / A = \(\frac{9}{10}+\frac{39}{40}+\frac{87}{88}+...+\frac{1119}{1120}\)
5 / A = \(\frac{9}{10}+\frac{39}{40}+\frac{87}{88}+\frac{153}{154}\)
Trình bày cách làm hộ mình nha ! Cảm ơn rất nhiều !
bạn ơi tách ra thừa số chung rồi làm như bình thường nha
1, A=\(\left(1+1+1+1\right)\)-\(\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}\right)\)
=4-\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}\right)\)
= 4-\(\left(\frac{1}{1}-\frac{1}{3}+...+\frac{1}{7}-\frac{1}{9}\right)\)
=4-\(\left(1-\frac{1}{9}\right)\)
= 4-\(\frac{8}{9}\)
= \(\frac{7}{9}\)
Câu 2 tương tự như câu 1
A=\(\left(1+1+1+1\right)\)-\(\left(\frac{1}{10}+\frac{1}{40}+...+\frac{1}{154}\right)\)
A= 4 -\(\left(\frac{1}{2.5}+\frac{1}{5.8}+...+\frac{1}{11.14}\right)\)
Bạn tự làm tiếp
\(\frac{9}{10}\) + \(\frac{39}{40}\) + \(\frac{87}{88}\) + ... + \(\frac{1119}{1120}\)
Ai nhanh và đúng nhất mk sẽ tick cho!
Ta có :
\(\frac{9}{10}+\frac{39}{40}+\frac{87}{88}+...+\frac{1119}{1120}\)
\(=\)\(\left(1-\frac{1}{10}\right)+\left(1-\frac{1}{40}\right)+\left(1-\frac{1}{88}\right)+...+\left(1-\frac{1}{1120}\right)\)
\(=\)\(\left(1+1+1+...+1\right)-\left(\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+...+\frac{1}{1120}\right)\)
\(=\)\(\left(1+1+1+...+1\right)-\left(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+...+\frac{1}{32.35}\right)\)
\(=\)\(11-\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{32}-\frac{1}{35}\right)\)
\(=\)\(11-\left(\frac{1}{2}-\frac{1}{35}\right)\)
\(=\)\(11-\frac{33}{70}\)
\(=\)\(\frac{737}{70}\)
Chúc bạn học tốt ~
4. Thực hiện phép tính a) 150 + 50 : 5 + 2 . 9 b) 1121:1119 + 215.8:217 c) 15 − [(25.8):(100.2)] d) 60:{[(12 − 3).2] + 2}
a: \(150+50:5+2\cdot9\)
=150+10+18
=178
2+3+4+6+&+8+9+10...+1119
2+3+4+5+6+7+8+9+10+...+1119 ( có 1118)
=(2+1119).1118:2
Bằng bao nhiêu bn tự tính nha
A=\(\frac{\left(2015^2+1117\right)\left(2015^2+6047\right)}{2016.2017.2018.2019}\)
Tính hợp lí: D=-79.(-1119-59)-1119.29-179.59
Tks các cậu
Lời giải:
$D=79(1119+59)-1119.29-179.59$
$=79.1119+79.59-1119.29-179.59$
$=(79.1119-1119.29)-(179.59-79.59)$
$=1119(79-29)-59(179-79)$
$=1119.50-59.100=55950-5900=50050$
Tính giá trị biểu thức: \(M=\frac{671\times2343+67,1\times6450+6,71\times1200}{25\times27,34+1117\times4}\)