DODAWANIE
[tex]a)\\7\frac35+1\frac49=7\frac{27}{45}+1\frac{20}{45}=8\frac{47}{45}=9\frac2{45}\\b)\\3\frac3{10}+7\frac56=3\frac{9}{30}+7\frac{25}{30}=10\frac{34}{30}=11\frac4{30}=11\frac2{15}\\c)\\9\frac12+5\frac35=9\frac5{10}+5\frac6{10}=14\frac{11}{10}=15\frac1{10}[/tex]
ODEJMOWANIE
[tex]a)\\9\frac45-3\frac34=9\frac{16}{20}-3\frac{15}{20}=6\frac1{20}\\b)\\6\frac13-2\frac59=6\frac39-2\frac59=5\frac{12}9-2\frac59=3\frac79\\c)\\9\frac67-1\frac1{11}=9\frac{66}{77}-1\frac{7}{77}=8\frac{59}{77}[/tex]
MNOZENIE
[tex]a)\\2\frac25*1\frac37=\frac{12}5*\frac{10}7=\frac{12}1*\frac27=\frac{24}7=3\frac37\\b)\\4\frac13*2\frac25=\frac{13}3*\frac{12}5=\frac{13}1*\frac45=\frac{52}5=10\frac25\\c)\\1 \frac29*1\frac47=\frac{11}9*\frac{11}7=\frac{121}{63}=1\frac{58}{63}[/tex]
DZIELENIE
[tex]a)\\1\frac35:1\frac47=\frac85:\frac{11}7=\frac85*\frac7{11}=\frac{56}{55}=1\frac1{55}\\b)\\2\frac15:3\frac45=\frac{11}5:\frac{19}5*\frac{11}5*\frac5{19}=\frac{11}{19}\\c)\\1 \frac17 : 1\frac15=\frac87:\frac65=\frac87*\frac56=\frac47*\frac53=\frac{20}{21}[/tex]
POTEGOWANIE
[tex]a)\\(\frac79)^2=\frac{7^2}{9^2}=\frac{49}{81}\\b)\\(\frac17)^2=\frac{1^2}{7^2}=\frac1{49}\\c)\\(\frac3{11})^2=\frac{3^2}{11^2}=\frac9{121}[/tex]
KOLEJNOSC WYKONYWANIA DZIALAN
[tex]a)\\3\frac23:(1\frac12+2\frac34)-\frac58=\frac{11}3:(1\frac24+2\frac34)-\frac58=\frac{11}3:3\frac54-\frac58=\frac{11}3:\frac{17}4-\frac58=\frac{11}3*\frac4{17}-\frac58=\frac{44}{51}-\frac58=\frac{352}{408}-\frac{255}{408}=\frac{97}{408}[/tex]
[tex]b)\\(2\frac13+(5\frac25-3\frac23))*1\frac14=(2\frac13+(5\frac{6}{15}-3\frac{10}{15}))*\frac54=(2\frac13+(4\frac{21}{15}-3\frac{10}{15}))*\frac54=(2\frac5{15}+1\frac{11}{15})*\frac54=3\frac{16}{15}*\frac54=\frac{61}{15}*\frac54=\frac{61}3*\frac14=\frac{61}{12}=5\frac1{12}[/tex]
