Question

Решите уравнение: a) x+2 2/11=5 b) 26 5/8+a =30 c) n-6 5/6=2/9 d) 11 1/4-x=3 7/10 e) 3 11/24-x=1 1/6+1 1/9 f) y+5/7-1/8=2/3-1/14

Answer 1

Пошаговое объяснение:

$\[\begin{gathered}a)x+2\frac{2}{{11}}=5 \hfill \\x=5-2\frac{2}{{11}}=4\frac{{11}}{{11}}-2\frac{2}{{11}} \hfill \\x=\boxed{2\frac{9}{{11}}} \hfill \\ \end{gathered} \]$

$\[\begin{gathered}b)26\frac{5}{8}+a=30 \hfill \\a=30-26\frac{5}{8} \hfill \\a=29\frac{8}{8}-26\frac{5}{8} \hfill \\a=\boxed{3\frac{3}{8}} \hfill \\\\c)n-6\frac{5}{6}=\frac{2}{9} \hfill \\n=\frac{2}{9}+6\frac{5}{6}=\frac{4}{{18}}+6\frac{{15}}{{18}} \hfill \\n=6\frac{{19}}{{18}}=\boxed{7\frac{1}{{18}}} \hfill \\ \end{gathered} \]$

$\[\begin{gathered} d)11\frac{1}{4}-x=3\frac{7}{{10}} \hfill \\x=11\frac{1}{4}-3\frac{7}{{10}}=11\frac{5}{{20}}-3\frac{{14}}{{20}} \hfill \\x=10\frac{{25}}{{20}}-3\frac{{14}}{{20}} \hfill \\x=\boxed{7\frac{11}{{20}}} \hfill \\\\ e)3\frac{{11}}{{24}}-x=1\frac{1}{6}+1\frac{1}{9} \hfill \\x=3\frac{{11}}{{24}}-1\frac{1}{6}-1\frac{1}{9} \hfill \\x=3\frac{{33}}{{72}}-1\frac{{12}}{{72}}-1\frac{8}{{72}} \hfill \\x=\boxed{1\frac{{13}}{{72}}} \hfill \\\\\end{gathered}\]$

$\[\begin{gathered}f)y+\frac{5}{7}-\frac{1}{8}=\frac{2}{3}-\frac{1}{{14}} \hfill \\y+\frac{{40}}{{56}}-\frac{7}{{56}}=\frac{{28}}{{42}}-\frac{3}{{42}} \hfill \\y+\frac{{33}}{{56}}=\frac{{25}}{{42}} \hfill \\y=\frac{{25}}{{42}}-\frac{{33}}{{56}}=\frac{{100}}{{168}}-\frac{{99}}{{168}} \hfill \\y=\boxed{\frac{1}{{168}}} \hfill \\ \end{gathered} \]$