Question

Liczby wymierne oblicz zadanie 1

Answer 1

Odpowiedź:

Szczegółowe wyjaśnienie:

1.

a)

2 1/3 + 6 2/3 = 7/3 + 20/3 = 27/3 = 9

b)

6 3/5 - 8 4/5 = 33/5 - 44/5 = -11/5 = -2 1/5

c)

1 1/2 + 1/3 = 1 3/6 + 2/6 = 1 5/6

d)

5 2/3 + 1/2 = 5 4/6 + 3/6 = 5 7/6 = 6 i 1/6

e)

2 3/4 - 4 1/2 = 2 3/4 - 4 2/4 = 11/4 - 18/4 = -7/4 = -1 3/4

f)

5 1/4 - 4 2/3 = 5 3/12 - 4 8/12 = 63/12 - 56/12 = 7/12

g)

(2/3 * 4/9) : 1/6 = 8/27 * 6 = 48/27 = 1 21/27 = 1 7/9

h)

(5/18 * 15/4) : 6/5 = 75/72 * 5/6 = 25/24 * 5/6 = 125/144

i)

(1/2 * 1/3) : 1/6 = 1/6 * 6/1 = 6/6 = 1

j)

(2/3 * 5/6) : 8/15 = 10/18 * 15/8 = 5/9 * 15/8 = 75/72 = 1 3/72 = 1 1/24

k)

(1 2/3 : 8 4/7) * 6/7 = (5/3 : 60/7) * 6/7 = (5/3 * 7/60) * 6/7 = 35/180 * 6/7 = 7/36 * 6/7 = 42/252 = 1/6

l)

(2 6/7 : 1 3/7) * 1/2 = (20/7 : 10/7) * 1/2 = (20/7 * 7/10) * 1/2 = 140/70 * 1/2 = 140/140 = 1