Question

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)

Answer 1

а) $frac{3}{4}-(1frac{1}{3}-1frac{1}{6})=frac{3}{4}-(frac{4}{3}-frac{7}{6})=frac{3}{4}-frac{4}{3}+frac{7}{6}=frac{9}{12}-frac{16}{12}+frac{14}{12}=-frac{7}{12}+frac{14}{12}=frac{7}{12};$

б) $3frac{1}{8}-(frac{2}{3}+frac{1}{3})=3frac{1}{8}-frac{3}{3}=3frac{1}{8}-1=2frac{1}{8}=2,125;$

в) $5frac{1}{8}-(2frac{2}{3}+frac{3}{4})=5frac{1}{8}-(frac{8}{3}+frac{3}{4})=5frac{1}{8}-(frac{24}{12}+frac{9}{12})=5frac{1}{8}-frac{33}{12}=5frac{1}{8}-2frac{9}{12}=5frac{1}{8}-2frac{3}{4}=5,125-2,75=2,375=2frac{375}{1000}=2frac{15}{40}=2frac{3}{8}$