Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a, \(\frac{5}{6}-\left(\frac{2}{5}+\frac{1}{3}\right)\)
\(=\frac{5}{6}-\frac{2}{5}-\frac{1}{3}\)
\(=\frac{25}{30}-\frac{12}{30}-\frac{10}{30}\)
\(=\frac{3}{30}=\frac{1}{10}\)
b. \(\frac{3}{4}-\frac{1}{3}-\frac{1}{6}\)
\(=\frac{3}{4}-\left(\frac{1}{3}+\frac{1}{6}\right)\)
\(=\frac{3}{4}-\frac{9}{18}\)
\(=\frac{3}{4}-\frac{1}{2}\)
\(=\frac{1}{4}\)
\(\frac{3}{1\times2}+\frac{3}{2\times3}+...+\frac{3}{5\times6}\)
\(=3\left(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{5\times6}\right)\)
\(=3\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{5}-\frac{1}{6}\right)\)
\(=3\left(1-\frac{1}{6}\right)=3\times\frac{5}{6}=\frac{5}{2}\)
a; 5\(\dfrac{3}{4}\) : 3 + 2\(\dfrac{1}{4}\).\(\dfrac{1}{3}\) - \(\dfrac{3}{8}\)
= \(\dfrac{23}{4}\) : 3 + \(\dfrac{9}{4}\).\(\dfrac{1}{3}\) - \(\dfrac{3}{8}\)
= \(\dfrac{23}{4}\) x \(\dfrac{1}{3}\) + \(\dfrac{3}{4}\) - \(\dfrac{3}{8}\)
= \(\dfrac{23}{12}\) + \(\dfrac{3}{4}\) - \(\dfrac{3}{8}\)
= \(\dfrac{46}{24}\) + \(\dfrac{18}{24}\) - \(\dfrac{9}{24}\)
= \(\dfrac{64}{24}\) - \(\dfrac{9}{24}\)
= \(\dfrac{55}{24}\)
\(\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}\right):\left(\frac{1}{4}-\frac{1}{6}\right)\)
\(=\left(\frac{1}{2.3}+\frac{1}{4.5}\right):\frac{2}{4.6}\)
\(=\left(\frac{1}{6}+\frac{1}{20}\right).2.6\)
\(=\frac{13}{60}.2.6=\frac{13}{5}\)
a) \(\frac{5}{6}-\left(\frac{2}{5}+\frac{1}{3}\right)=\frac{5}{6}-\frac{11}{15}=\frac{1}{10}\)
b) \(\frac{3}{4}-\frac{1}{3}-\frac{1}{6}=\frac{3}{4}-\left(\frac{1}{3}+\frac{1}{6}\right)=\frac{3}{4}-\frac{1}{2}=\frac{1}{4}\)