Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\frac{3}{4}\cdot\frac{8}{5}\cdot\frac{5}{9}=\frac{2}{3}\)
\(\frac{3}{7}:\frac{3}{14}:\frac{1}{2}=4\)
\(=\dfrac{3}{4}\left(\dfrac{1}{4}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{12}+...+\dfrac{1}{44}-\dfrac{1}{48}\right)\)
\(=\dfrac{3}{4}\cdot\dfrac{44}{48}\)
\(=\dfrac{1}{16}\cdot11=\dfrac{11}{16}\)
\(\frac{2}{9}+\frac{3}{7}+\frac{16}{9}+\frac{4}{7}\)
\(=\left(\frac{2}{9}+\frac{16}{9}\right)+\left(\frac{3}{7}+\frac{4}{7}\right)\)
\(=2+1=3\)
\(\frac{3}{5}\times\frac{5}{9}+\frac{3}{4}\times\frac{4}{9}\)
\(=\frac{1}{3}+\frac{1}{3}=\frac{2}{3}\)
( 4.2/5 +3/5) + (2.3/4 +1/4) +(5.2/3 +1/3) =( 4 + 2/5 + 3/5) +( 2 +3/4 + 1/4 ) + (5 + 2/3 + 1/3) =( 4+1 ) + (2 +1) + ( 5 + 1) = 14
Lời giải:
\(\frac{3}{4}\times \frac{8}{9}\times \frac{15}{16}\times ....\times \frac{99}{100}\)
\(=\frac{3\times 8\times 15\times ....\times 99}{4\times 9\times 16\times ....\times 100}\)
\(=\frac{(1\times 3)\times (2\times 4)\times (3\times 5)\times ...\times (9\times 11)}{2\times 2\times 3\times 3\times 4\times 4\times ....\times 10\times 10}\)
\(=\frac{(1\times 2\times 3\times ...\times 9)\times (3\times 4\times 5\times ....\times 11)}{(2\times 3\times 4\times....\times 10)\times (2\times 3\times 4\times ...\times 10)}\)
\(=\frac{1\times 2\times 3\times ....\times 9}{2\times 3\times 4\times ....\times 10}\times \frac{3\times 4\times 5\times ...\times 11}{2\times 3\times 4\times ...\times 10}\)
\(=\frac{1}{10}\times \frac{11}{2}=\frac{11}{20}\)
\(\frac{3}{4}\times\frac{8}{5}\times\frac{5}{9}=\frac{3\times8\times5}{4\times5\times9}=\frac{3\times4\times2\times5}{4\times5\times3\times3}=\frac{2}{3}\)
\(\frac{3}{4}\times\frac{8}{5}\times\frac{5}{9}=\frac{3\times8\times5}{4\times5\times9}=\frac{3\times4\times2\times5}{4\times5\times3\times3}=\frac{2}{3}\)