tinh tong
s = 2 phan 4 + 2 phan 12 + 2 phan 24 + ........... + 2 phan 4900
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
S=\(\dfrac{2}{4}+\dfrac{2}{12}+\dfrac{2}{24}+...+\dfrac{2}{4900}\)
S=\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{2450}\)
S=\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{49.50}\)
S=\(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{49}-\dfrac{1}{50}\)
S=\(1-\dfrac{1}{50}=\dfrac{49}{50}\)
Vậy S=\(\dfrac{49}{50}\)
\(S=\dfrac{2}{4}+\dfrac{2}{12}+\dfrac{2}{24}+...+\dfrac{2}{4900}\)
\(S=\dfrac{2}{2.2}+\dfrac{2}{2.6}+\dfrac{2}{4.6}+...+\dfrac{2}{50.98}\)
\(\Rightarrow\dfrac{1}{2}S=\dfrac{2}{2.4}+\dfrac{2}{4.6}+\dfrac{2}{6.8}+...+\dfrac{2}{98.100}\)
\(\dfrac{1}{2}S=\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{8}+...+\dfrac{1}{98}-\dfrac{1}{100}\)
\(\dfrac{1}{2}S=\dfrac{1}{2}-\dfrac{1}{100}\)
\(\dfrac{1}{2}S=\dfrac{49}{100}\)
\(\Rightarrow S=\dfrac{49}{100}:\dfrac{1}{2}\)
\(\Rightarrow S=\dfrac{49}{50}\)
2 - 5/6= 7/6
7/8+3/4=`13/8
2/5+3/4=23/20
7/12 - 2/7 + 1/12=8/21
12/17 - 5/17 - 4/17=3/17
a, \(\frac{12}{25}+\frac{3}{5}+\frac{13}{25}\)
\(=\left(\frac{12}{25}+\frac{13}{25}\right)+\frac{3}{5}\)
\(=1+\frac{3}{5}\)
\(=\frac{8}{5}\)
b, \(\frac{3}{2}+\frac{2}{3}+\frac{4}{3}\)
\(=\frac{3}{2}+\left(\frac{2}{3}+\frac{4}{3}\right)\)
\(=\frac{3}{2}+2\)
\(=\frac{7}{2}\)
c, \(\frac{3}{5}+\frac{7}{5}+\frac{3}{4}\)
\(=2+\frac{3}{4}\)
\(=\frac{11}{4}\)
nhớ ấn đúng giùm tớ nha
a) = 8 phần 5
b) = 7 phần 2
c) = 11 phần 4
nhớ ấn giùm tớ nha
\(\frac{4}{5}+\frac{2}{7}+\frac{11}{5}+\frac{12}{7}+\frac{1}{5}\)
\(=\frac{4}{5}+\frac{11}{5}+\frac{1}{5}+\frac{2}{7}+\frac{12}{7}\)
\(=\frac{4+11+1}{5}+\frac{2+12}{7}\)
\(=\frac{16}{5}+\frac{14}{7}\)
\(=\frac{16}{5}+2=\frac{26}{5}\)
\(\frac{4}{5}+\frac{2}{7}+\frac{11}{5}+\frac{12}{7}+\frac{1}{5}\)
\(=\left(\frac{4}{5}+\frac{11}{5}+\frac{1}{5}\right)+\left(\frac{2}{7}+\frac{12}{7}\right)\)
\(=\frac{16}{5}+\frac{14}{7}\)
\(=\frac{16}{5}+2=\frac{16}{5}+\frac{10}{5}=\frac{26}{5}\)
\(\frac{4}{7}x\frac{5}{6}+\frac{5}{7}x\frac{5}{6}\)
\(=\frac{5}{6}x\left(\frac{4}{7}+\frac{5}{7}\right)=\frac{5}{6}x\frac{9}{7}=\frac{45}{42}=\frac{15}{14}\)
\(\frac{1}{2}:3x\frac{1}{2}=\frac{1}{6}x\frac{1}{2}=\frac{1}{12}\)