a) \(\frac{6}{7}+\frac{5}{8}:5-\frac{3}{16}.\left(-2\right)^2\)
\(=\frac{6}{7}+\frac{1}{8}-\frac{3}{16}.4\)
\(=\frac{55}{56}-\frac{3}{4}\)
\(=\frac{13}{56}\)
\(\frac{6}{7}+\frac{5}{8}:5-\frac{3}{16}.\left(-2\right)^2\)
\(=\frac{6}{7}+\frac{1}{8}-\frac{3}{16}.4\)
\(=\frac{54}{56}+\frac{7}{56}-\frac{3}{4}\)
\(=\frac{61}{56}-\frac{3}{4}\)
\(=\frac{61}{54}-\frac{42}{56}\)
\(=\frac{19}{56}\)
\(a,\frac{6}{7}+\frac{5}{8}:5-\frac{3}{16}.\left(-2\right)^2\)
\(=\frac{6}{7}+\frac{1}{8}-\frac{3}{16}.4\)
\(=\frac{55}{56}-\frac{3}{4}\)
\(=\frac{13}{56}\)
\(b,\left(\frac{3}{4}x+\frac{5}{2}\right).\frac{-2}{3}=\frac{1}{8}\)
\(\frac{3}{4}x+\frac{5}{2}=\frac{1}{8}:\frac{-2}{3}\)
\(\frac{3}{4}x+\frac{5}{2}=\frac{-3}{16}\)
\(\frac{3}{4}x=\frac{-3}{16}-\frac{5}{2}\)
\(\frac{3}{4}x=\frac{-43}{16}\)
\(x=\frac{-43}{16}:\frac{3}{4}\)
\(x=\frac{-43}{12}\)
b)
\(\left(\frac{3}{4}x+\frac{5}{2}\right).-\frac{2}{3}=\frac{1}{8}\)
\(\frac{3}{4}x+\frac{5}{2}=\frac{1}{8}:\left(-\frac{2}{3}\right)\)
\(\frac{3}{4}.x+\frac{5}{2}=-\frac{3}{16}\)
\(\frac{3}{4}.x=-\frac{3}{16}-\frac{5}{2}\)
\(\frac{3}{4}x=-\frac{43}{16}\)
\(x=-\frac{43}{16}:\frac{3}{4}\)
\(x=-\frac{43}{12}\)
\(\left(\frac{3}{4}x+\frac{5}{2}\right).\frac{-2}{3}=\frac{1}{8}\)
\(\frac{3}{4}x+\frac{5}{2}=\frac{1}{8}:-\frac{2}{3}\)
\(\frac{3}{4}x+\frac{5}{2}=-\frac{3}{16}\)
\(\frac{3}{4}x=-\frac{3}{16}-\frac{5}{2}\)
\(\frac{3}{4}x=-\frac{43}{16}\)
\(x=-\frac{43}{16}:\frac{3}{4}\)
\(\Rightarrow x=-\frac{43}{12}\)
\(=\frac{6}{7}+\frac{1}{8}-\frac{3}{16}.4\\ =\frac{53}{56}-\frac{3}{4}\\ =\frac{52-42}{56}\\ =\frac{10}{56}=\frac{5}{28}\)
b)\(=>\frac{3}{4}x+\frac{5}{2}=\frac{-3}{16}\\ =>\frac{3}{4}x=\frac{-43}{16}\\ =>x=\frac{-43}{12}\)
\(=\frac{6}{7}+\frac{1}{8}-\frac{3}{4}\)
\(=\frac{192+28-168}{224}\)
\(=\frac{52}{224}\)
\(=\frac{13}{56}\)
