Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\dfrac{10}{20}=\dfrac{10:10}{20:10}=\dfrac{1}{2}\)
\(\dfrac{12}{72}=\dfrac{12:12}{72:12}=\dfrac{1}{6}\)
\(\dfrac{14}{42}=\dfrac{14:14}{42:14}=\dfrac{1}{3}\)
\(\dfrac{25}{100}=\dfrac{25:25}{100:25}=\dfrac{1}{4}\)
b) \(\dfrac{1010}{1313}=\dfrac{1010:101}{1313:101}=\dfrac{10}{13}\)
\(\dfrac{1111}{1414}=\dfrac{1111:101}{1414:101}=\dfrac{11}{14}\)
c) \(\dfrac{143}{154}=\dfrac{143:11}{154:11}=\dfrac{13}{14}\)
\(\dfrac{990}{2610}=\dfrac{990:90}{2610:90}=\dfrac{11}{29}\)
\(\dfrac{374}{506}=\dfrac{374:22}{506:22}=\dfrac{17}{23}\)
\(a)\dfrac{10}{20}=\dfrac{1}{2};\dfrac{12}{72}=\dfrac{1}{6};\dfrac{14}{42}=\dfrac{1}{3};\dfrac{25}{100}=\dfrac{1}{4}\)
\(b)\dfrac{1010}{1313}=\dfrac{10}{13};\dfrac{1111}{1414}=\dfrac{11}{14}\)
\(c)\dfrac{143}{154}=\dfrac{13}{14};\dfrac{990}{2610}=\dfrac{11}{29};\dfrac{374}{506}=\dfrac{17}{23}\)
Chúc bn học tốt !!!
\(\frac{1313}{1212}:x=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5}\)
\(\frac{1313}{1212}:x=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}\)
\(\frac{1313}{1212}:x=\frac{1}{1}-\frac{1}{5}+\frac{1}{5}\)
\(\frac{1313}{1212}:x=\frac{4}{5}+\frac{1}{5}\)
\(\frac{1313}{1212}:x=1\)
\(x=\frac{1313}{1212}:1\)
\(x=\frac{13}{12}\)
Lời giải
\(\frac{1313}{1212}:x=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}\)
\(\frac{1313}{1212}:x=\frac{1}{1}-\frac{1}{5}+\frac{1}{5}\)
\(\frac{1313}{1212}:x=\frac{4}{5}+\frac{1}{5}\)
\(x=\frac{1313}{1212}:1\)
\(x=\frac{13}{12}\)
Lúc nãy, cô còn dạy học nên giờ cô mới giảng cho em được nhé.
B = (1 - \(\dfrac{1}{2}\))\(\times\)(1 - \(\dfrac{1}{3}\))\(\times\)(1 - \(\dfrac{1}{4}\))\(\times\)(1-\(\dfrac{1}{5}\))\(\times\)...\(\times\)(1- \(\dfrac{1}{2003}\))\(\times\)(1-\(\dfrac{1}{2004}\))
B = \(\dfrac{2-1}{2}\)\(\times\)\(\dfrac{3-1}{3}\)\(\times\)\(\dfrac{4-1}{4}\)\(\times\)\(\dfrac{5-1}{5}\)\(\times\)...\(\times\)(\(\dfrac{2003-1}{2003}\))\(\times\)(\(\dfrac{2004-1}{2004}\))
B = \(\dfrac{1}{2}\)\(\times\)\(\dfrac{2}{3}\)\(\times\)\(\dfrac{3}{4}\)\(\times\)\(\dfrac{4}{5}\)\(\times\)...\(\times\)\(\dfrac{2002}{2003}\)\(\times\)\(\dfrac{2003}{2004}\)
B = \(\dfrac{2\times3\times4\times...\times2003}{2\times3\times4\times...\times2003}\)\(\times\) \(\dfrac{1}{2004}\)
B = \(\dfrac{1}{2004}\)
\(\dfrac{12}{13}\)= \(\dfrac{12.101}{13.101}\)= \(\dfrac{1212}{1313}\) (1)
\(\dfrac{12}{13}\) = \(\dfrac{12.\left(-10101\right)}{13.\left(-10101\right)}\) = \(\dfrac{-121212}{-131313}\)(2)
Từ (1) và (2) => \(\dfrac{12}{13}=\dfrac{1212}{1313}=\dfrac{-121212}{-131313}\)
a ) − 1212 − 2424 = ( − 1212 ) : ( − 1212 ) ( − 2424 ) : ( − 1212 ) = 1 2
b ) 120120 − 240240 = 120120 : ( − 120120 ) − 240240 : ( − 120120 ) = − 1 2
c) 1313 − 1414 = 1313 : ( − 101 ) − 1414 : ( − 101 ) = − 13 14
Ta có :
1313/9191
= (13.101)/(91.101)
= 13/91 . 101/101
= 13/91
= 13/(7.13)
= 1/7.13/13
= 1/7
Mà : 1111/7373
= (11.101)/(73.101)
= 11/73 . 101/101
= 11/73
Ta có : 1/7 = 11/(7.11) = 11/77 < 11/73
hay : 1313/9191 < 1111/7373
a) 33 66 = 33 : 33 66 : 33 = 1 2 b ) − 22 77 = − 22 : 11 77 : 11 = − 2 7
c ) 3030 6060 = 3030 : 3030 6060 : 3030 = − 1 2 d ) − 1212 − 2424 = ( − 1212 ) : ( − 1212 ) ( − 2424 ) : ( − 1212 ) = 1 2
e ) 120120 − 240240 = 120120 : ( − 120120 ) − 240240 : ( − 120120 ) = − 1 2
f ) 1313 − 1414 = 1313 : ( − 101 ) − 1414 : ( − 101 ) = − 13 14
Bài 1 :1010+1111+1212+1313+....+8888
=101.(10+11+12+13+...+88)
=101.[(10+88).79:2]
=101.3871
=390971
Khoảng cách giữa các số là
1111-1010=101
Số số hạng là
(8888-1010):101+1=79 (số)
Tổng 1010+1111+…………+8888là
(8888+1010)x79:2=390 971
Đáp số: 390 971