oblicz:
a) 1/2 + 1/3 + 1/4
b) 1 2/5 + 3 1/3 + 2 1/2
c) 4 1/3 - 2 2/5 + 1 1/5​


Odpowiedź :

Odpowiedź:

[tex]\huge\boxed{\boxed{a)=1\frac{1}{12}}}[/tex]

[tex]\huge\boxed{\boxed{b)=7\frac{7}{30}}}[/tex]

[tex]\huge\boxed{\boxed{c)=3\frac{2}{15}}}[/tex]

Szczegółowe wyjaśnienie:

[tex]\frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\frac{1\cdot6}{2\cdot6}+\frac{1\cdot4}{3\cdot4}+\frac{1\cdot3}{4\cdot3}=\frac{6}{12}+\frac{4}{12}+\frac{3}{12}=\frac{13}{12}=1\frac{1}{12}\\\\1\frac{2}{5}+3\frac{1}{3}+2\frac{1}{2}=1\frac{2\cdot6}{5\cdot6}+3\frac{1\cdot10}{3\cdot10}+2\frac{1\cdot15}{2\cdot15}=1\frac{12}{30}+3\frac{10}{30}+2\frac{15}{30}=6\frac{37}{30}=7\frac{7}{30}[/tex]

[tex]4\frac{1}{3}-2\frac{2}{5}+1\frac{1}{5}=4\frac{1}{3}-(2\frac{2}{5}-1\frac{1}{5})=4\frac{1}{3}-1\frac{1}{5}=4\frac{1\cdot5}{3\cdot5}-1\frac{1\cdot3}{5\cdot3}=4\frac{5}{15}-1\frac{3}{15}=3\frac{2}{15}\\[/tex]

Odpowiedź:

1/2 + 1/3 + 1/4 = 6/12 + 4/12 + 3/12 = 13/12 = 1 i 1/12

1 i 2/5 + 3 i 1/3 + 2 i 1/2 = 1 i 12/30 + 3 i 10/30 + 2 i 15/30 = 6 i 37/30 = 7 i 7/30

4 i 1/3 - 2 i 2/5 + 1 i 1/5 = 4 i 5/15 - 2 i 6/15 + 1 i 3/15 = 3 i 20/15 - 2 i 6/15 + 1 i 3/15 = 1 i 14/15 + 1 i 3/15 = 2 i 17/15 = 3 i 2/15