Odpowiedź:
a) 1 i 5/6 + 2 i 4/7= 1 i 35/42 + 2 i 24/42= 3 i 59/42= 4 i 17/42
b) ( 3 i 2/3 )²= ( 11/3)²= 11/3 *11/3 =121/ 9= 13 i 4/9
c) 4 i 6/7 - 2 i 1/5= 4 i 30/35 - 2 i 7/35= 2 i 23/35
d) 8 i 2/9 - 3 i 5/8= 8 i 16/72 - 3 i 45/72= 7 i 88/72 -3 i 45/82= 4 i 43/82
e) 7/15 *3/4 ( skracamy 3 i 15 przez 3)= 7/5 *1/4= 7/20
f) 4/7 : 8/21= 4/7 * 21/8 ( skracamy 7 i 21 przez 7, oraz 4 i 8 przez 4)=
= 3/2= 1 i 1/2
g) 2 i 2/3 * 1 i 3/4= 8/3 *7/4 ( skracamy 8 i 4 przez 4)= 2/3 *7= 14/3 =4 i 2/3
h) 6/13 : 3 i 3/5= 6/13 : 18/5= 6/13 *5/18 ( skracamy 6 i 18 przez 6)=
= 1/13 *5/3= 5/39
Szczegółowe wyjaśnienie:
a)[tex]4\frac{20}{21}[/tex]
b)[tex]13\frac{4}{9}[/tex]
c)[tex]\frac{23}{35}[/tex]
d)[tex]4\frac{43}{72}[/tex]
e)[tex]\frac{7}{20}[/tex]
f)[tex]1\frac{1}{2}[/tex]
g)[tex]4\frac{2}{3}[/tex]
h)[tex]\frac{5}{39}[/tex]
a) [tex]1\frac{5}{6} +2\frac{4}{7}=\frac{11}{6}+\frac{18}{7}=\frac{77}{42}+\frac{126}{42}=\frac{203}{42}=4\frac{40}{42}=4\frac{20}{21}[/tex]
b)[tex](3\frac{2}{3})^{2}=3\frac{2}{3}*3\frac{2}{3}=\frac{11}{3}*\frac{11}{3}=\frac{121}{9}=13\frac{4}{9}[/tex]
c)[tex]=4\frac{30}{35}-2\frac{7}{35}=\frac{23}{35}[/tex]
d)[tex]=8\frac{16}{72}-3\frac{45}{72}=4\frac{43}{72}[/tex]
e)[tex]=\frac{7}{5}*\frac{1}{4}=\frac{7}{20}[/tex]
f)[tex]=\frac{4}{7}*\frac{21}{8}=\frac{1}{1}*\frac{3}{2}=1\frac{1}{2}[/tex]
g)[tex]=\frac{8}{3}*\frac{7}{4}=\frac{2}{3}*\frac{7}{1}=\frac{14}{3}=4\frac{2}{3}[/tex]
h)[tex]=\frac{6}{13}*\frac{5}{18}=\frac{1}{13}*\frac{5}{3}=\frac{5}{39}[/tex]
:)
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Odpowiedź:
a) 1 i 5/6 + 2 i 4/7= 1 i 35/42 + 2 i 24/42= 3 i 59/42= 4 i 17/42
b) ( 3 i 2/3 )²= ( 11/3)²= 11/3 *11/3 =121/ 9= 13 i 4/9
c) 4 i 6/7 - 2 i 1/5= 4 i 30/35 - 2 i 7/35= 2 i 23/35
d) 8 i 2/9 - 3 i 5/8= 8 i 16/72 - 3 i 45/72= 7 i 88/72 -3 i 45/82= 4 i 43/82
e) 7/15 *3/4 ( skracamy 3 i 15 przez 3)= 7/5 *1/4= 7/20
f) 4/7 : 8/21= 4/7 * 21/8 ( skracamy 7 i 21 przez 7, oraz 4 i 8 przez 4)=
= 3/2= 1 i 1/2
g) 2 i 2/3 * 1 i 3/4= 8/3 *7/4 ( skracamy 8 i 4 przez 4)= 2/3 *7= 14/3 =4 i 2/3
h) 6/13 : 3 i 3/5= 6/13 : 18/5= 6/13 *5/18 ( skracamy 6 i 18 przez 6)=
= 1/13 *5/3= 5/39
Szczegółowe wyjaśnienie:
Odpowiedź:
a)[tex]4\frac{20}{21}[/tex]
b)[tex]13\frac{4}{9}[/tex]
c)[tex]\frac{23}{35}[/tex]
d)[tex]4\frac{43}{72}[/tex]
e)[tex]\frac{7}{20}[/tex]
f)[tex]1\frac{1}{2}[/tex]
g)[tex]4\frac{2}{3}[/tex]
h)[tex]\frac{5}{39}[/tex]
Szczegółowe wyjaśnienie:
a) [tex]1\frac{5}{6} +2\frac{4}{7}=\frac{11}{6}+\frac{18}{7}=\frac{77}{42}+\frac{126}{42}=\frac{203}{42}=4\frac{40}{42}=4\frac{20}{21}[/tex]
b)[tex](3\frac{2}{3})^{2}=3\frac{2}{3}*3\frac{2}{3}=\frac{11}{3}*\frac{11}{3}=\frac{121}{9}=13\frac{4}{9}[/tex]
c)[tex]=4\frac{30}{35}-2\frac{7}{35}=\frac{23}{35}[/tex]
d)[tex]=8\frac{16}{72}-3\frac{45}{72}=4\frac{43}{72}[/tex]
e)[tex]=\frac{7}{5}*\frac{1}{4}=\frac{7}{20}[/tex]
f)[tex]=\frac{4}{7}*\frac{21}{8}=\frac{1}{1}*\frac{3}{2}=1\frac{1}{2}[/tex]
g)[tex]=\frac{8}{3}*\frac{7}{4}=\frac{2}{3}*\frac{7}{1}=\frac{14}{3}=4\frac{2}{3}[/tex]
h)[tex]=\frac{6}{13}*\frac{5}{18}=\frac{1}{13}*\frac{5}{3}=\frac{5}{39}[/tex]
:)