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phaỉ giải chi tiết chứ nói như nguyentuantai thì bấm áy tính cũng ra thôi!
\(\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\)
\(=2\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\right)\)
\(=2\left(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}+\frac{1}{9\cdot10}\right)\)
\(=2\left(\left[\frac{1}{3}-\frac{1}{4}\right]+\left[\frac{1}{4}-\frac{1}{5}\right]+\left[\frac{1}{5}-\frac{1}{6}\right]+\left[\frac{1}{6}-\frac{1}{7}\right]+\left[\frac{1}{7}-\frac{1}{8}\right]+\left[\frac{1}{8}-\frac{1}{9}\right]+\left[\frac{1}{9}-\frac{1}{10}\right]\right)\)
\(=2\left(\frac{1}{3}-\frac{1}{10}\right)\)
\(=2\cdot\frac{7}{30}\)
\(=\frac{7}{15}\)
\(I=\frac{\frac{25}{17}-\frac{25}{27}-\frac{25}{37}-\frac{25}{47}}{\frac{45}{17}-\frac{45}{27}-\frac{45}{37}-\frac{45}{47}}\)
\(I=\frac{25.\left(\frac{1}{17}-\frac{1}{27}-\frac{1}{37}-\frac{1}{47}\right)}{45.\left(\frac{1}{17}-\frac{1}{27}-\frac{1}{37}-\frac{1}{47}\right)}\)
\(I=\frac{25}{45}=\frac{5}{9}\)
45 x 16 - 17
= 720 - 17
= 703
45 x 15 + 28
= 675 + 28
= 703
mk trả lời đầu tiên nè tk mk đi
45 x 16 - 17
= 720 - 17
= 703
45 x 15 + 28
= 675 + 28
= 703
Mình Trả lời thứ 2 nè
a)\(=\frac{45\cdot\left(15+1\right)-17}{45\cdot15+28}\)
\(=\frac{45\cdot15+45-17}{45\cdot15+28}\)
\(=\frac{45\cdot15+28}{45\cdot15+28}\)
=1
b)=>(x+1)[(x-1):3+1]:2=330
=>(x+1)[(x-1):3+1]=660
=>(x+1)[(x-1):3+1]=44.15
=>x+1=44
=>x=43
Ta co:
\(\frac{1}{2}A=\frac{1}{4}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{72}+\frac{1}{90}\)
\(\Leftrightarrow\frac{1}{2}A=\frac{1}{4}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{8.9}+\frac{1}{9.10}\)
\(\Leftrightarrow\frac{1}{2}A=\frac{1}{4}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)
\(\Leftrightarrow\frac{1}{2}A=\frac{1}{4}+\frac{1}{2}-\frac{1}{10}=\frac{13}{20}\Rightarrow A=\frac{13}{10}.\)
\(A=\frac{1}{2}+\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+...+\frac{1}{36}+\frac{1}{45}\)
\(A=\frac{2}{4}+\frac{2}{6}+\frac{2}{12}+\frac{2}{20}+\frac{2}{30}+...+\frac{2}{72}+\frac{2}{90}\)
\(A=\frac{2}{2.2}+\frac{2}{2.3}+\frac{2}{3.4}+\frac{2}{4.5}+\frac{2}{5.6}+...+\frac{2}{8.9}+\frac{2}{9.10}\)
\(A=2\left(\frac{1}{2.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(A=2\left(\frac{1}{2}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(A=2\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(A=2.\frac{2}{5}\)
\(A=\frac{4}{5}\)
~ Học tốt ~ K cho mk nhé! Thank you.
*Note: Tích của một số với 0 luôn bằng 0.
a) \(\left(1763+7634+23\cdot764\right)\cdot\left(346\cdot45-173\cdot90\right)\)
\(=\left(1763+7634+23\cdot764\right)\cdot\left(346\cdot45-173\cdot45\cdot2\right)\)
\(=\left(1763+7634+23\cdot764\right)\cdot\left(346\cdot45-346\cdot45\right)\)
\(=\left(1763+7634+23\cdot764\right)\cdot0\)
\(=0\)
b) \(N=10\cdot12\cdot14\cdot16\cdot\left(88\cdot17-44\cdot34\right)\)
\(N=10\cdot12\cdot14\cdot16\cdot\left(88\cdot17-44\cdot17\cdot2\right)\)
\(N=10\cdot12\cdot14\cdot16\cdot\left(88\cdot17-88\cdot17\right)\)
\(N=10\cdot12\cdot14\cdot16\cdot0\)
\(N=0\)
c) \(\left(80\cdot96+40\cdot1808\right):1000\)
\(=\left(80\cdot96+40\cdot904\cdot2\right):1000\)
\(=\left(80\cdot96+80\cdot904\right):1000\)
\(=\left[80\cdot\left(96+904\right)\right]:1000\)
\(=80\cdot1000:1000\)
\(=80\)
a) [ 45 * 16 - 17] : [45 * 15 + 28]
= 703 : 703
= 1
b) [ 36 * 333 - 107 * 111] * 900
= [ 11988 - 11877] * 900
= 111 * 900
= 99900
\(=\frac{45.15+45-17}{45.15+28}=\frac{45.15+28}{45.15+28}=1\)
45×16-17
45×15+28
=45×15+45-17
45×15+28
=45×15+28
45×15+28
=1
học tốt nha !!!