(1 1\4 + х): 1 4\5 -1\3=1\2

  [latex](1\frac{1}{4}+x):1\frac{4}{5}-\frac{1}{3}=\frac{1}{2}[/latex]   [latex](\frac{5}{4}+x):\frac{9}{5}-\frac{1}{3}=\frac{1}{2}[/latex]   [latex](\frac{5}{4}+x):\frac{9}{5}=\frac{1}{2}+\frac{1}{3}[/latex]   [latex](\frac{5}{4}+x):\frac{9}{5}=\frac{5}{6}[/latex]   [latex]\frac{5}{4}+x=\frac{5}{6}*\frac{9}{5} [/latex]   [latex]\frac{5}{4}+x=\frac{9}{6}[/latex]   [latex]x=\frac{9}{6}-\frac{5}{4} [/latex]   [latex]x=\frac{3}{12}[/latex]   [latex]x=\frac{1}{4}[/latex]  

(1 1\4 + х): 1 4\5 -1\3=1\2 (1 1\4 + х): 1 4\5 =1/2+1/3 (1 1\4 + х): 1 4\5 =5/6 1 1\4 + х=5/6*9/5 1 1\4 + х=3/2 х=3/2-5/4 х=6/4-5/4 х=1/4