Question

1. Oblicz.

c) 12/25 : 18/10 =

d) 48/14 : 40/56 =

3. Oblicz.

a) ½ + ⅔ +⅚ =

b) 1½ + ⅓ + 2¾ =

c) (1½)² + (1¾)² =

d) 5/12 + 5/18 =

e) 11/45 - 9/30 =

f)7 - (-2½)² =

g) ⅗ + 4/15 - 2/25 =

h) 5/12 - 2/15 - 3/10 =

i) - (- 1½)² - (-1½)³ =

4. Dla jakiej wartości parametru m wartość wyrażenia jest równa 0 ?

a) ½ - ⅓ + m =

b) ⅖ - ¾ + m=

c) 1⅓ - 2¼ - 2m =

d) 3½ - 1⅙ + 7/3m =

e) 1½ - ⅔m - 0,75 =

f) 0,125m - ⅗ - 1¼ =

Answer 1

1. Oblicz.

c) 12/25 : 18/10 = 12/25 · 10/18 = 4/15

d) 48/14 : 40/56 = 48/14 · 56/40 = 216/70 = 3 i 6/70

3. Oblicz.

a) ½ + ⅔ +⅚ = 3/6 + 4/6 + 5/6 = 12/6 = 2

b) 1½ + ⅓ + 2¾ = 3/2 + 1/3 + 11/4 = 18/12 + 4/12 + 33/12 = 55/12 = 4 i 7/12

c) (1½)² + (1¾)² = (3/2)² + (7/4)² = 9/4 + 49/16 = 36/16 + 49/16 = 85/16 = 5 i  5/16

d) 5/12 + 5/18 = 15/36 + 10/36 = 25/36

e) 11/45 - 9/30 = 22/90 - 27/90 = -5/90 = -1/18

f)7 - (-2½)² = 7 - (-5/2)² = 7 - 25/4 = 7 - 6 1/4 = 3/4

g) ⅗ + 4/15 - 2/25 = 6/15 + 4/15 - 2/25 = 10/15 - 2/25 =  250/375 - 30/375 = 220/375 = 44/75

h) 5/12 - 2/15 - 3/10 = 50/120 - 16/120 - 36/120 = 34/120 - 36/120 = -2/120 = -1/60

i) - (- 1½)² - (-1½)³ = - (- 3/2)² - (- 3/2)³  = -9/4 + 9/4 = 0

4. Dla jakiej wartości parametru m wartość wyrażenia jest równa 0 ?

a) ½ - ⅓ + m = 3/6 - 2/6 + m = 1/6 + m

m = - 1/6

b) ⅖ - ¾ + m= 8/20 - 15/20 + m = -7/20 + m

m = 7/20

c) 1⅓ - 2¼ - 2m = 4/3 - 9/4 - 2m = 16/12 - 27/12 - 2m = -11/12 - 2m

2m = 11/12 m = 11/24

d) 3½ - 1⅙ + 7/3m = 7/2 - 7/6 + 7/3m =  42/12 - 14/12 + 7/3m = 28/12 + 7/3m

7/3m = -28/12 = -7/3

m = 1

e) 1½ - ⅔m - 0,75 = 3/2 - 2/3m - 3/4 = 6/4 - 2/3m - 3/4 = 3/4 - 2/3m

2/3m = -3/4

m = 12/9

f) 0,125m - ⅗ - 1¼ = 1/8m - 2/5 - 5/4 = 1/8 m - 8/20 - 25/20 = 1/8m -33/20

1/8m = 33/20

m = 5/60