Sprawdź się! Oblicz a)4/5:2/3
b)4:6/10
c)3/7:6
d)1 7/8:1 1/2​


Odpowiedź :

a)

[tex]\frac{4}{5}:\frac{2}{3}=\frac{\not4^2}{5}\cdot\frac{3}{\not2_1}=\frac{6}{5}=1\frac{1}{5}[/tex]

b)

[tex]4:\frac{6}{10}=4\cdot\frac{10}{6}=4\cdot\frac{5}{3}=\frac{20}{3}=6\frac{2}{3}[/tex]

c)

[tex]\frac{3}{7}:6=\frac{\not3^1}{7}\cdot\frac{1}{\not6_2}=\frac{1}{14}[/tex]

d)

[tex]1\frac{7}{8}:1\frac{1}{2}=\frac{1\cdot8+7}{8}:\frac{1\cdot2+1}{2}=\frac{8+7}{8}:\frac{2+1}{2}=\frac{15}{8}:\frac{3}{2}=\frac{\not15^5}{\not8_4}\cdot\frac{\not2^1}{\not3_1}=\frac{5}{4}=1\frac{1}{4}\\[/tex]

a) [tex]\frac{4}{5} : \frac{2}{3} = \frac{4}{5} *\frac{3}{2} =\frac{12}{10} =\frac{6}{5} =1\frac{1}{5}[/tex]

b) [tex]4:\frac{6}{10} =\frac{4}{1} *\frac{10}{6} =\frac{40}{6} =\frac{20}{3} =6\frac{2}{3}[/tex]

c) [tex]\frac{3}{7} :6=\frac{3}{7} :\frac{6}{1} =\frac{3}{7} *\frac{1}{6} =\frac{3}{42} =\frac{1}{14}[/tex]

d) [tex]1\frac{7}{8} : 1\frac{1}{2} =\frac{15}{8} : \frac{3}{2} =\frac{15}{8} * \frac{2}{3} =\frac{30}{24}=1\frac{6}{24} =1\frac{1}{4}[/tex]