5. Oblicz:
a] 5 3/11 + 7 8/11 =
b] 4 7/8 - 2 3/8 =
c] 3/4 + 1/5 =
d] 10 1/6 - 2 1/3 =
mnożenie e] 7 . 3/14 =
dzielenie f] 4/7 : 8/21 =
g] {5/9+1/2} . 1/3 =


Odpowiedź :

Odpowiedź:

a]

5 3/11 + 7 8/11 =  12 11/11 = 13

b]

4 7/8 - 2 3/8 =  2 4/8 = 2 1/2

c]

3/4 + 1/5 =  15/20 + 4/20 = 19/20

d]

10 1/6 - 2 1/3 =  10 1/6 - 2 2/6 = 9 7/6 - 2 2/6 = 7 5/6

e]

7 * 3/14 =  3/2 = 1 1/2

f]

4/7 : 8/21 =  4/7 * 21/8 = 3/2 = 1 1/2

g]

{5/9 + 1/2} * 1/3 = (10/18 + 9/18) * 1/3 = 19/18 * 1/3 = 19/54

Szczegółowe wyjaśnienie:

Odpowiedź:

A)

[tex]5 \frac{3}{11} + 7 \frac{8}{11} = 13 [/tex]

B)

[tex]4 \frac{7}{8} - 2 \frac{3}{8} = 2 \frac{4}{8} = 2 \frac{1}{2}[/tex]

C)

[tex] \frac{3}{4} + \frac{1}{5} = \frac{15}{20} + \frac{4}{20} = \frac{19}{20} [/tex]

D)

[tex]10 \frac{1}{6} - 2 \frac{1}{3} = 10 \frac{1}{6} - 2 \frac{2}{6} = 7 \frac{5}{6} [/tex]

E)

[tex]7 \times \frac{3}{14} = \frac{21}{14} = 1 \frac{7}{14} = 1 \frac{1}{2} [/tex]

F)

[tex] \frac{4}{7} \div \frac{8}{21} = \frac{4}{7} \times \frac{21}{8} = \frac{1}{1} \times \frac{3}{2} = 1\frac{1}{2} [/tex]

G)

[tex]( \frac{5}{9} + \frac{1}{2} ) \times \frac{1}{3} = ( \frac{10}{18} + \frac{9}{18} ) \times \frac{1}{3} = \frac{19}{18} \times \frac{1}{3} = \frac{19}{54} [/tex]