ego em ką تمہ 1 Oblicz sprytnym sposobem. -3003-3 118 Czy już umiem? /Oblicz. 34 4 5 a) II Oblicz. b) -5555-552 222 5,1 5 b) 15 12 b) 1.3 1/1 5 c) 2-369- c) 1 248 7.7 9 11 c) 12/11/ plis tylko I II PROSZE DAM NAJ SZYBKO
b) [tex]1\frac{2}{3}*3\frac{4}{5}= \frac{1*3+2}{3}*\frac{3*5+4}{5}= \frac{3+2}{3}*\frac{15+4}{5}= \frac{5}{3}*\frac{19}{5}= \frac{1}{3}*\frac{19}{1}= \frac{19}{3}=\frac{3*6+1}{3}=6\frac{1}{3}[/tex]
c) [tex]1\frac{5}{7} *\frac{14}{15}=\frac{1*7+5}{7}*\frac{14}{15}=\frac{7+5}{7}*\frac{14}{15}=\frac{12}{7}*\frac{14}{15}=\frac{4}{1}*\frac{2}{5}=\frac{8}{5}=\frac{1*5+3}{5}=1\frac{3}{5}[/tex]
Odpowiedź:
I.
a) [tex]\frac{3}{4}*\frac{4}{5}= \frac{3}{1}*\frac{1}{5}= \frac{3}{5}[/tex]
b) [tex]\frac{4}{15} *\frac{5}{12}= \frac{1}{3} *\frac{1}{3}= \frac{1}{9}[/tex]
c) [tex]\frac{7}{9} *\frac{7}{11}= \frac{7*7}{9*11} =\frac{49}{99}[/tex]
II.
a) [tex]\frac{5}{6} *1\frac{1}{5} =\frac{5}{6} *\frac{1*5+1}{5} =\frac{5}{6} *\frac{5+1}{5} =\frac{5}{6} *\frac{6}{5} =\frac{1}{1} *\frac{1}{1}=1[/tex]
b) [tex]1\frac{2}{3}*3\frac{4}{5}= \frac{1*3+2}{3}*\frac{3*5+4}{5}= \frac{3+2}{3}*\frac{15+4}{5}= \frac{5}{3}*\frac{19}{5}= \frac{1}{3}*\frac{19}{1}= \frac{19}{3}=\frac{3*6+1}{3}=6\frac{1}{3}[/tex]
c) [tex]1\frac{5}{7} *\frac{14}{15}=\frac{1*7+5}{7}*\frac{14}{15}=\frac{7+5}{7}*\frac{14}{15}=\frac{12}{7}*\frac{14}{15}=\frac{4}{1}*\frac{2}{5}=\frac{8}{5}=\frac{1*5+3}{5}=1\frac{3}{5}[/tex]