K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

3 tháng 4 2019

Ta có 

C=\(\frac{1}{2}+\frac{1}{3}+\frac{2}{5}+\frac{5}{7}+\frac{1}{6}-\frac{4}{35}+\frac{1}{41}\)

\(\left(=\right)C=\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\right)+\left(\frac{2}{5}+\frac{5}{7}-\frac{4}{35}\right)+\frac{1}{41}\)

\(\left(=\right)C=\left(\frac{3}{6}+\frac{2}{6}+\frac{1}{6}\right)+\left(\frac{14}{35}+\frac{25}{35}-\frac{4}{35}\right)+\frac{1}{41}\)

\(\left(=\right)c=1+\left(-1\right)+\frac{1}{41}=\frac{1}{41}\)

vì viết dưới dạng phân số chưa quen nên bn thông cảm cho mk nhé!

C = 0,5 + 1/3 + 0,4 + 5/7 + 1/6 - 4/35 + 1/41

= 5/10 + 1/3 + 4/10 + 5/7 + 1/6 - 4/35 + 1/41

= 1/2 + 1/3 + 2/5 + 5/7 + 1/6 - 4/35 + 1/41

= (1/2 + 1/3 + 1/6) + (2/5 + 5/7 - 4/35) +1/41

= (3/6+ 2/6 + 1/6) + ( 14/35 + 25/35 - 4/35) + 1/41

= 6/6 + 35/35 + 1/41

= 1 + 1 + 1/41 = 2 + 1/41 = 2/1 + 1/41

= 43/41 + 1/41 = 44/41

chúc bn học tốt

15 tháng 7 2015

\(C=0,5+\frac{1}{3}+0,4+\frac{5}{7}+\frac{1}{6}-\frac{4}{35}+\frac{1}{41}\)

     \(=\left(\frac{1}{2}+\frac{1}{3}+\frac{2}{5}+\frac{1}{6}\right)+\left(\frac{5}{7}-\frac{4}{35}\right)+\frac{1}{41}\)

    \(=\frac{15+10+12+5}{30}+\frac{25-4}{35}+\frac{1}{41}\)

    \(=\frac{7}{5}+\frac{3}{5}+\frac{1}{41}\)

   \(=2+\frac{1}{41}=\frac{83}{41}\)

 

\(D=\frac{1}{90}-\frac{1}{72}-\frac{1}{56}-\frac{1}{42}-\frac{1}{30}-\frac{1}{12}-\frac{1}{6}-\frac{1}{2}\)

     \(=\left(\frac{1}{90}-\frac{1}{30}-\frac{1}{6}-\frac{1}{2}\right)+\left(-\frac{1}{72}-\frac{1}{12}\right)-\frac{1}{56}-\frac{1}{42}\)

    \(=\frac{1-2-15-45}{90}+\frac{-1-6}{72}-\frac{1}{56}-\frac{1}{42}\)

    \(=-\frac{61}{90}-\frac{7}{72}-\frac{1}{56}-\frac{1}{42}\)

    \(=\frac{-1708-245-45-60}{2520}\)

    \(=-\frac{49}{60}\)

Nghịch đảo của C là \(\frac{41}{83}\), nghịch đảo của D là \(-\frac{60}{49}\)

\(\frac{41}{83}\cdot\left(-\frac{60}{49}\right)=-\frac{2460}{4067}\)

    

20 tháng 7 2017

     \(\frac{0,4-\frac{2}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}\)

\(=\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{2}{6}-\frac{2}{8}+\frac{2}{10}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}\)

\(=\frac{2.\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7.\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}-\frac{2.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}{7.\left(\frac{1}{6}-\frac{1}{8}+\frac{1}{10}\right)}\)

\(=\frac{2}{7}-\frac{2}{7}\)

\(=0\)

1 tháng 4 2019

\(\frac{0,4-\frac{2}{9}+\frac{2}{11}}{1,4-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-0,25+\frac{1}{5}}{1\frac{1}{6}-0,875+0,7}=\frac{\frac{2}{5}-\frac{2}{9}+\frac{2}{11}}{\frac{7}{5}-\frac{7}{9}+\frac{7}{11}}-\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{6}-\frac{7}{8}+\frac{7}{10}}\)

\(=\frac{2\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}{7\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{11}\right)}-\frac{\frac{1}{3}-\frac{1}{4}+\frac{1}{5}}{\frac{7}{2}\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{5}\right)}\)

\(=\frac{2}{7}-\frac{1}{\frac{7}{2}}\)

\(=\frac{2}{7}-\frac{2}{7}=0\)

Study well ! >_<

16 tháng 3 2016

a/ \(\frac{6}{7}+\frac{1}{7}\times\frac{2}{7}+\frac{1}{7}\times\frac{5}{7}=\frac{6}{7}+\frac{1}{7}\times\left(\frac{2}{7}+\frac{5}{7}\right)=\frac{6}{7}+\frac{1}{7}\times1=\frac{6}{7}+\frac{1}{7}=\frac{7}{7}=1\)

b/ \(\frac{1}{4}-\frac{-7}{4}\times\frac{15}{35}=\frac{1}{4}+\frac{7}{4}\times\frac{3}{7}=\frac{1}{4}+\frac{3}{4}=\frac{4}{4}=1\)

16 tháng 3 2016

\(\frac{6}{7}+\frac{2}{14}+\frac{5}{14}=\frac{12}{14}+\frac{2}{14}+\frac{5}{14}=\frac{19}{17}\)câu a

câu b \(\frac{1}{4}-\frac{-105}{140}=\frac{35}{140}-\frac{-105}{140}=\frac{140}{140}=1\)

15 tháng 4 2017

\(0,5+\dfrac{1}{3}+0,4+\dfrac{5}{7}+\dfrac{1}{6}-\dfrac{4}{35}+\dfrac{1}{41}\)

\(=\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{2}{5}+\dfrac{5}{7}+\dfrac{1}{6}-\dfrac{4}{35}+\dfrac{1}{41}\)

\(=\left(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{6}\right)+\left(\dfrac{2}{5}+\dfrac{5}{7}-\dfrac{4}{35}\right)+\dfrac{1}{41}\)

\(=\left(\dfrac{3}{6}+\dfrac{2}{6}+\dfrac{1}{6}\right)+\left(\dfrac{14}{35}+\dfrac{25}{35}-\dfrac{4}{35}\right)+\dfrac{1}{41}\)

\(=\dfrac{3+2+1}{6}+\dfrac{14+25-4}{35}+\dfrac{1}{41}\)

\(=1+1+\dfrac{1}{41}\)

\(=2+\dfrac{1}{41}\)

\(=2\dfrac{1}{41}=\dfrac{83}{41}\)