Вычислите: (3/4+1/6)*3+(5/6-1/2):2/9

$(frac{3}{4} + frac{1}{6})*3 + (frac{5}{6} - frac{1}{2}) : frac{2}{9} =4 frac{1}{4}$

$frac{3}{4} + frac{1}{6} = frac{9}{12} + frac{2}{12} = frac{11}{12}$

$frac{5}{6} - frac{1}{2} = frac{5}{6} - frac{3}{6} = frac{2}{6} = frac{1}{3}$

$frac{11}{12} * 3 = frac{11}{12} * frac{3}{1} = frac{33}{12} = 2 frac{9}{12} = 2 frac{3}{4}$

$frac{1}{3} : frac{2}{9} = frac{1}{3} * frac{9}{2} = frac{9}{6} = 1 frac{3}{6} = 1 frac{1}{2}$

$2 frac{3}{4} + 1 frac{1}{2} = (2+1) + frac{3}{4} + frac{1}{2} = 3 + frac{3}{4} + frac{2}{4} = 3 + frac{5}{4} = frac{3}{1} +frac{5}{4} = frac{12}{4} + frac{5}{4} = frac{17}{4} = 4 frac{1}{4}$