Вычислите дроби:a)3/4-(1 1/3-1 1/6) б)3 1/8 - (2/3+1/3) в)5 1/8 - (2 2/3 + 3/4)

а)3/4-(11/3-1 1/6)=3/4-11/6=-26/24=-1 1/12 б)3 1/8-(2/3+1/3)=3 1/8-1=2 1/8 в)5 1/8-(2 2/3+3/4)= 5 1/8- 3 5/12=41/24=1 17/24

а) [latex]\frac{3}{4}-(1\frac{1}{3}-1\frac{1}{6})=\frac{3}{4}-(\frac{4}{3}-\frac{7}{6})=\frac{3}{4}-\frac{4}{3}+\frac{7}{6}=\frac{9}{12}-\frac{16}{12}+\frac{14}{12}=-\frac{7}{12}+\frac{14}{12}=\frac{7}{12};[/latex] б) [latex]3\frac{1}{8}-(\frac{2}{3}+\frac{1}{3})=3\frac{1}{8}-\frac{3}{3}=3\frac{1}{8}-1=2\frac{1}{8}=2,125;[/latex] в) [latex]5\frac{1}{8}-(2\frac{2}{3}+\frac{3}{4})=5\frac{1}{8}-(\frac{8}{3}+\frac{3}{4})=5\frac{1}{8}-(\frac{24}{12}+\frac{9}{12})=5\frac{1}{8}-\frac{33}{12}=5\frac{1}{8}-2\frac{9}{12}=5\frac{1}{8}-2\frac{3}{4}=5,125-2,75=2,375=2\frac{375}{1000}=2\frac{15}{40}=2\frac{3}{8}[/latex]