Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) 5x7x8x9x10 / 7x8x9x10x11=5/11
b) 3x145+3x55 / 6x215+6x85=3x(145+55)/6x(215+85)=3x200/6x300=3x100x2/3x2x100x3=1/3
\(\frac{5\times7\times8\times9\times10}{7\times8\times9\times10\times11}\)
\(=\frac{5\times\left(7\right)\times\left(8\right)\times\left(9\right)\times\left(10\right)}{\left(7\right)\times\left(8\right)\times\left(9\right)\times\left(10\right)\times11}\)
\(=\frac{5}{11}\)
\(\frac{3\times145+3\times55}{6\times215+6\times85}\)
\(=\frac{3\times\left(145+55\right)}{6\times\left(215+85\right)}\)
\(=\frac{3\times200}{6\times300}\)
\(=\frac{600}{1800}=\frac{1}{3}\)
\(\frac{5\times7\times8\times9\times10}{7\times8\times9\times10\times11}=\frac{5}{11}\)
\(\frac{3\times145+3\times55}{6\times215+6\times85}\)
\(=\frac{3\times\left(145+55\right)}{6\times\left(215+85\right)}\)
\(=\frac{3\times200}{6\times300}\)
\(=\frac{3\times2\times100}{3\times2\times3\times100}\)
\(=\frac{1}{3}\)
Ta có :
\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2013.2014}\)
\(=\)\(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2013}-\frac{1}{2014}\)
\(=\)\(1-\frac{1}{2014}\)
\(=\)\(\frac{2014}{2014}-\frac{1}{2014}\)
\(=\)\(\frac{2013}{2014}\)
Vậy \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2013.2014}=\frac{2013}{2014}\)
Dấu \(.\) là dấu nhân nhé
Chúc bạn học tốt ~
\(\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{2013\times2014}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2013}-\frac{1}{2014}\)
\(=1-\frac{1}{2014}\)
\(=\frac{2013}{2014}\)
CHÚC BN HỌC TỐT!!!!!
\(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{12}{15}+\frac{22}{33}+\frac{48}{64}\)
\(=\frac{11}{33}+\frac{16}{64}+\frac{3}{15}+\frac{12}{15}+\frac{22}{33}+\frac{48}{64}\)
\(=\left(\frac{11}{33}+\frac{22}{33}\right)+\left(\frac{16}{64}+\frac{48}{64}\right)+\left(\frac{3}{15}+\frac{12}{15}\right)\)
\(\frac{33}{33}+\frac{64}{64}+\frac{15}{15}\)
\(=1+1+1\)
\(=3\)
1/4*5+1/5*6+1/6*7+1/7*8=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1/4-1/8
1/8
4 năm chưa ai làm =))
4 năm chưa ai làm tội ghê