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\(\frac{1}{4}-\left(3\frac{1}{4}-2x\right):25\%=\frac{3}{4}\)
\(\Leftrightarrow\left(3\frac{1}{4}-2x\right):25\%=\frac{1}{4}-\frac{3}{4}\)
\(\Leftrightarrow\left(3\frac{1}{4}-2x\right):\frac{25}{100}=\frac{-1}{2}\)
\(\Leftrightarrow\left(3\frac{1}{4}-2x\right):\frac{1}{4}=\frac{-1}{2}\)
\(\Leftrightarrow\frac{13}{4}-2x=\frac{-1}{2}.\frac{1}{4}\)
\(\Leftrightarrow\frac{13}{4}-2x=\frac{-1}{8}\)
\(\Leftrightarrow2x=\frac{13}{4}-\frac{-1}{8}\)
\(\Leftrightarrow2x=\frac{26}{8}-\frac{-1}{8}\)
\(\Leftrightarrow2x=\frac{27}{8}\)
\(\Leftrightarrow x=\frac{27}{8}.2\)
\(\Leftrightarrow x=\frac{27}{4}\)
a; \(\dfrac{3}{5}\) - \(\dfrac{-7}{10}\) - \(\dfrac{13}{-20}\)
= \(\dfrac{12}{20}\) + \(\dfrac{14}{20}\) + \(\dfrac{13}{20}\)
= \(\dfrac{39}{20}\)
b; \(\dfrac{1}{2}\) + \(\dfrac{1}{-3}\) + \(\dfrac{1}{4}\) - \(\dfrac{-1}{6}\)
= \(\dfrac{6}{12}\) - \(\dfrac{4}{12}\) + \(\dfrac{3}{12}\) + \(\dfrac{2}{12}\)
= \(\dfrac{7}{12}\)
a) = ( 9/10 - 4/5) + ( 3/4 + 1/2)
= ( 9/10 - 8/10) + ( 3/4 + 2/4)
= 1/10 + 5/4
= 2/20 + 25/20 = 27/20
b) = (4/5 + 4/15) + (5/6 - 1/2)
= (12/15 - 4/15) + (5/6 - 3/6)
= 8/15 + 2/6
= 16/30 + 10/30
= 26/30 = 13/15
c) = 55 - 39 - 1 + 60 /75 = 75/75 = 1
d) = 47 + 35 - 36 + 15/42 = 61/42
\(25\%-1\frac{1}{4}+0,2:\frac{1}{6}=\frac{1}{4}-\frac{5}{4}+\frac{1}{5}.6=-1+\frac{6}{5}=-1+1\frac{1}{5}=\frac{1}{5}\)
\(25\%-1\frac{1}{4}+0,2:\frac{1}{6}=\frac{1}{4}-\frac{5}{4}+0,2:\frac{1}{6}=\frac{5-1}{4}+\frac{1}{5}.6=-1+\frac{6}{5}=-\frac{5}{5}+\frac{6}{5}=\frac{1}{5}\)