Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: \(\left(\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{15}\right):\left(\dfrac{1}{6}+\dfrac{1}{10}-\dfrac{1}{15}\right)\)
\(=\dfrac{5+3+2}{30}:\dfrac{5+3-2}{30}\)
\(=\dfrac{10}{30}\cdot\dfrac{30}{6}\)
\(=\dfrac{10}{6}=\dfrac{5}{3}\)
b: \(\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{4}-\dfrac{1}{5}\right):\left(\dfrac{1}{4}-\dfrac{1}{6}\right)\)
\(=\dfrac{30-20+15-12}{60}:\dfrac{3-2}{12}\)
\(=\dfrac{13}{60}\cdot\dfrac{12}{1}=\dfrac{13}{5}\)
\(\frac{\frac{1}{6}+\frac{1}{10}+\frac{1}{15}}{\frac{1}{6}+\frac{1}{10}-\frac{1}{15}}=\frac{\frac{5+3+2}{30}}{\frac{5+3-2}{30}}=\frac{\frac{1}{3}}{\frac{1}{5}}=1\frac{2}{3}\)
\(\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}}{\frac{1}{4}-\frac{1}{6}}=\frac{\frac{30-20+15-12}{60}}{\frac{3-2}{12}}=\frac{\frac{13}{60}}{\frac{1}{12}}=2\frac{3}{5}\)
tíc nha mn, mình đang bị âm điểm
\(\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{2}-\frac{1}{10}\)
\(=\frac{2}{5}\)
đặt A=1/2*3+1/3*4+1/4*5..............1/9*10
\(A=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{2}-\frac{1}{10}\)
\(=\frac{4}{10}=\frac{2}{5}\)
A=1/1*2+1/2*3+...+1/9*10
=1-1/2+1/2-1/3+...+1/9-1/10
=(1-1/10)+(1/2-1/2)+...+(1/9-1/9)
=(10/10-1/10)+0+...+0=9/10
a,(1/2+3/4)-(2/3-1/5)
=5/4- 7/15
=47/60
b, (5/6*3/10)+(5/8:5/6)
= 1/4+3/4
=1
\(A=\frac{1}{1+2}+\frac{1}{1+2+3}+...+\frac{1}{1+2+3+..+10}\)
\(=\frac{1}{3}+\frac{1}{6}+...+\frac{1}{55}\)
\(=2\left(\frac{1}{6}+\frac{1}{12}+...+\frac{1}{110}\right)\)
\(=2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{10}-\frac{1}{11}\right)=2.\left(\frac{1}{2}-\frac{1}{11}\right)=2.\frac{9}{22}=\frac{9}{11}\)
\(\frac{\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{5}\right):\left(\frac{1}{2}+\frac{1}{4}-\frac{1}{5}\right)}{\left(\frac{1}{2}+\frac{1}{5}+\frac{1}{10}\right):\left(\frac{1}{2}+\frac{1}{5}-\frac{1}{10}\right)}=\frac{\frac{9}{20}:\frac{11}{20}}{\frac{4}{5}:\frac{3}{5}}=\frac{\frac{9}{11}}{\frac{4}{3}}=\frac{27}{44}\)
bạn hãy làm bài này một cách nhanh hơn được ko ?