oblicz.
a) 1,75 + 3⅓ =
b) 1 4/9 • 1,3=
c)2,4 : 1⅗=
d) 0,4³=
f) 3,6 • 1⅑ - 1,22+ 6,25 :⅝=​


Odpowiedź :

a)

[tex]1,75 + 3\frac{1}{3} = 1\frac{75}{100}+3\frac{1}{3} = 1\frac{3}{4}+3\frac{1}{3} = 1\frac{9}{12}+3\frac{4}{12} = 4\frac{13}{12} = 5\frac{1}{12}[/tex]

b)

[tex]1\frac{4}{9}\cdot1,3 = \frac{13}{9}\cdot\frac{13}{10}=\frac{169}{90} = 1\frac{79}{90}[/tex]

c)

[tex]2,4:1\frac{3}{5} = \frac{24}{10}:\frac{8}{5} = \frac{12}{5}\cdot\frac{5}{8}=\frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}[/tex]

d)

[tex]0,4^{3} = 0,4\cdot0,4\cdot0,4 = 0,064[/tex]

f)

[tex]3,6\cdot1\frac{1}{9}-1,22+6,25:\frac{5}{8} =3,6\cdot\frac{10}{9}-1,22+6,25\cdot\frac{8}{5} = \frac{36}{9}-1,22+\frac{6,25}{5}\cdot8 =\\\\=4-1,22+1,25\cdot8=4-1,22+10 = 12,78[/tex]