a) 3/4*5/6 / 1/2=
\frac{3}{4}*\frac{5}{6}/\frac{1}{2}=\frac{5}{8}*\frac{2}{1}=\frac{5}{4}=1\frac{1}{4}
b) 7/9 / 2/3*6/7=
\frac{7}{9}/\frac{2}{3}*\frac{6}{7}=\frac{7}{9}*\frac{3}{2}*\frac{6}{7}=1
c) 3 3/4*2 2/5-4 3/8=
3\frac{3}{4}*2\frac{2}{5}-4\frac{3}{8}=\frac{15}{4}*\frac{12}{5}-4\frac{3}{8}=3*3-4\frac{3}{8}=9-4\frac{3}{8}=8\frac{8}{8}-4\frac{3}{8}=4\frac{5}{8}
d) 10-1 5/6*4 1/2=
10-1\frac{5}{6}*4\frac{1}{2}=10-\frac{11}{6}*\frac{9}{2}=10-\frac{11*3}{2*2}=10-\frac{33}{4}=10-8\frac{1}{4}=9\frac{4}{4}-8\frac{1}{4}=1\frac{3}{4}
e) 5/7*4 2/3+5/6 / 1 1/9=
\frac{5}{7}*4\frac{2}{3}+\frac{5}{6}/1\frac{1}{9}=\frac{5}{7}*\frac{14}{3}+\frac{5}{6}*\frac{9}{10}=\frac{10}{3}+\frac{3}{4}=\frac{40}{12}+\frac{9}{12}=\frac{49}{12}=4\frac{1}{12}
f) (2 1/4- 1 2/3)/(1/6+2/9)=
(2\frac{1}{4}-1\frac{2}{3})/(\frac{1}{6}+\frac{2}{9})=(2\frac{3}{12}-1\frac{8}{12})/(\frac{3}{18}+\frac{4}{18})=(1\frac{15}{12}-1\frac{8}{12})/\frac{7}{18}=1\frac{7}{12}/\frac{7}{18}=
\frac{19}{12}*\frac{18}{7}=\frac{19*3}{2*7}=\frac{57}{14}=4\frac{1}{14}
sprawdzaj obliczenia