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29 tháng 7 2017

a) \(\frac{a}{b}+\frac{5}{6}=1-\frac{1}{8}\)

\(\frac{a}{b}+\frac{5}{6}=\frac{7}{8}\)

\(\frac{a}{b}=\frac{7}{8}-\frac{5}{6}\)

\(\frac{a}{b}=\frac{1}{24}\)

b) \(\frac{5}{8}-\frac{a}{b}=\frac{1}{4}+\frac{1}{6}\)

\(\frac{5}{8}-\frac{a}{b}=\frac{5}{12}\)

\(\frac{a}{b}=\frac{5}{8}-\frac{5}{12}\)

\(\frac{a}{b}=\frac{5}{24}\)

15 tháng 4 2019

\(a,\frac{6}{7}+\frac{5}{8}:5-\frac{3}{16}\cdot(-2)^2\)

\(=\frac{6}{7}+\frac{5}{8}:\frac{5}{1}-\frac{3}{16}\cdot4\)

\(=\frac{6}{7}+\frac{5}{8}\cdot\frac{1}{5}-\frac{3}{16}\cdot4\)

\(=\frac{6}{7}+\frac{1}{8}-\frac{3\cdot4}{16}\)

\(=\frac{6}{7}+\frac{1}{8}-\frac{3\cdot1}{4}\)

\(=\frac{6}{7}+\frac{1}{8}-\frac{3}{4}=\frac{48+7-42}{56}=\frac{13}{56}\)

\(b,\frac{2}{3}+\frac{1}{3}\cdot\left[\frac{-2}{3}+\frac{5}{6}\right]:\frac{2}{3}\)

\(=\frac{2}{3}+\frac{1}{3}\cdot\left[\frac{-4+5}{6}\right]:\frac{2}{3}\)

\(=\frac{2}{3}+\frac{1}{3}\cdot\frac{1}{6}:\frac{2}{3}=\frac{2}{3}+\frac{1}{3}\cdot\frac{1}{6}\cdot\frac{3}{2}=\frac{2}{3}+\frac{1}{12}=\frac{8}{12}+\frac{1}{12}=\frac{9}{12}=\frac{3}{4}\)

c, Xem lại đề

d, \(\frac{-3}{5}+\left[\frac{-2}{5}-99\right]\)

\(=\frac{-3}{5}+\frac{-497}{5}=\frac{-500}{5}=-100\)

b, Tìm x

\(\left[\frac{2}{11}+\frac{1}{3}\right]\cdot x=\left[\frac{1}{7}-\frac{1}{8}\right]\cdot56\)

\(\Rightarrow\left[\frac{2}{11}+\frac{1}{3}\right]\cdot x=\left[\frac{8}{56}-\frac{7}{56}\right]\cdot56\)

\(\Rightarrow\left[\frac{6}{33}+\frac{11}{33}\right]\cdot x=1\)

\(\Rightarrow\frac{17}{33}\cdot x=1\)

\(\Rightarrow x=1:\frac{17}{33}=1\cdot\frac{33}{17}=\frac{33}{17}\)

17 tháng 4 2019

thank ^_^

7 tháng 7 2016

Nhờ mn làm giùm mình vs nhé c.ơn nhìu ạ

7 tháng 7 2016

a) Đặt A=1/2 + 1/4 + 1/8 +...+ 1/256 + 1/512

\(A=\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^9}\)

\(2A=1+\frac{1}{2}+...+\frac{1}{2^8}\)

\(2A-A=\left(1+\frac{1}{2}+...+\frac{1}{2^8}\right)-\left(\frac{1}{2}+\frac{1}{2^2}+...+\frac{1}{2^9}\right)\)

\(A=1-\frac{1}{2^9}\)

b)\(\frac{a}{b}+\frac{4}{6}+\frac{2}{10}=\frac{3}{2}\)

\(\Rightarrow\frac{a}{b}+\frac{13}{15}=\frac{3}{2}\)

\(\Rightarrow\frac{a}{b}=\frac{19}{30}\)

\(\frac{4}{5}:\frac{a}{b}-\frac{6}{5}=\frac{3}{10}\)

\(\Rightarrow\frac{4}{5}:\frac{a}{b}=\frac{3}{2}\)

\(\Rightarrow\frac{a}{b}=\frac{8}{15}\)