tinh nhanh :84+14x6+7x12+21x4+3x28/2+4+6...+40
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a) Kết quả - 2 x 4 + 3 x 2 + 5. b) Kết quả - 4 x 3 + 1 2 x − 1.
\(\frac{6}{7.12}+\frac{6}{12.17}+...+\frac{6}{87.92}+\frac{6}{92.95}\)
= \(6\left(\frac{5}{7.12}.\frac{1}{5}+\frac{5}{12.17}.\frac{1}{5}+...+\frac{5}{92.95}.\frac{1}{5}\right)\)
= \(6.\frac{1}{5}\left(\frac{5}{7.12}+\frac{5}{12.17}+...+\frac{5}{87.92}+\frac{5}{92.95}\right)\)
= \(\frac{6}{5}\left(\frac{5}{7}-\frac{5}{12}+\frac{5}{12}-\frac{5}{17}+...+\frac{5}{92}-\frac{5}{95}\right)\)
= \(\frac{6}{5}\left(\frac{5}{7}-\frac{5}{95}\right)\)= \(\frac{6}{5}.\frac{88}{133}=\frac{528}{665}\)
Tự rút gọn, mình lười.
a/ 100 . 37 + 37. 37 + 200 . 63 - 63 . 63\
= 37 .[ 100+ 37 ] + 63 . [ 200 - 63 ]
= 37. 137 + 63 . 137
= 137. [ 37 + 63 ]
= 137 . 100 = 13700
b/ 84 + 14 .6 + 7 . 12 + 21. 4 + 3.28
= 84 + 84 + 84 + 84 +84
= 84. 5 = 420
[ dấu " ." là " x" nha ] đừng quên tích cho tui
nhanh giúp mình đi các bạn,nếu giúp mình mà đúng thì mình tk cho
\(=\dfrac{7-2}{2.7}+\dfrac{12-7}{7.12}+...+\dfrac{102-97}{97.102}\)
\(=\dfrac{1}{2}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{12}+...+\dfrac{1}{97}-\dfrac{1}{102}\)
\(=\dfrac{1}{2}-\dfrac{1}{102}=\dfrac{25}{51}\)
\(=\dfrac{7-2}{2.7}+\dfrac{12-7}{7.12}+...+\dfrac{97-92}{92.97}\)
\(=\dfrac{1}{2}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{12}+...+\dfrac{1}{92}-\dfrac{1}{97}\)
\(=\dfrac{1}{2}-\dfrac{1}{97}=\dfrac{95}{194}\)
\(\frac{3}{2\times5}+\frac{2}{5\times8}+\frac{3}{8\times11}+...+\frac{3}{602\times605}\)
\(=\frac{5-2}{2\times5}+\frac{8-5}{5\times8}+\frac{11-8}{8\times11}+...+\frac{605-602}{602\times605}\)
\(=\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+\frac{1}{8}-\frac{1}{11}+...+\frac{1}{602}-\frac{1}{605}\)
\(=\frac{1}{2}-\frac{1}{605}=\frac{603}{1210}\)
\(\frac{4}{3\times7}+\frac{5}{7\times12}+\frac{1}{12\times13}+\frac{2}{13\times15}\)
\(=\frac{7-4}{3\times7}+\frac{12-7}{7\times12}+\frac{13-12}{12\times13}+\frac{15-13}{13\times15}\)
\(=\frac{1}{3}-\frac{1}{7}+\frac{1}{7}-\frac{1}{12}+\frac{1}{12}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\)
\(=\frac{1}{3}-\frac{1}{15}=\frac{4}{15}\)
a)
Do `3/2 > 1; 4/3 > 1; 7/6 > 1`
`=> 3/2 + 4/3 + 7/6 > 1+1+1`
`=> 3/2 + 4/3 + 7/6 > 3`
b)
Do `4/7 < 1; 5/12 <1; 84/87 < 1`
`=> 4/7 + 5/12 + 84/87 < 1+1+1`
`=> 4/7 + 5/12 + 84/87 < 3`
\(\frac{2}{5}=\frac{4}{10}=\frac{16}{40}=\frac{14}{35}\)
\(\frac{60}{84}=\frac{10}{14}=\frac{5}{7}=\frac{25}{35}\)
chúc bn hok tốt
\(\frac{2}{5}=\frac{14}{35}=\frac{14}{x}\Rightarrow x=35\)
\(\frac{60}{84}=\frac{5}{7}=\frac{10}{14}=\frac{x}{14}\Rightarrow x=10\)
\(\frac{60}{84}=\frac{5}{7}=\frac{5}{x}\Rightarrow x=7\)
\(\frac{60}{84}=\frac{5}{7}=\frac{25}{35}=\frac{x}{35}\Rightarrow x=25\)