Działania w zbiorze liczb wymiernych

Question

2 1/3 + 3,75 =
7 1/6 - 2,25 =
2 1/7 x 4 4/5 =
8 2/5 : 4/5 =
4,38 : 1,2 =
-3 1/4 - 4 1/3 =
2 1/3 + (-5 3/5) =
1 1/2 x (- 2/3) =
(-3 1/3) : (-2 2/9) =
5/9 - 10/27 : (- 5/6 ) =
(5/6 + 1/3) : (2 2/3 - 1,75) =
4 - 1 1/4 : 1 9/16 =
-2,25 - 2,1 : 8 2/5 =
(-5/6) : (1 2/3 + 2 1/2) =

Answer 1

2 1/3 + 3,75 = 2⅓+3¾ = 7/3+15/4 = 28/12+45/12 = 73/12 = 6 1/12

7 1/6 - 2,25 = 7⅙-2¼ = 43/6-9/4 = 86/12-27/12 = 59/12 = 4 11/12

2 1/7 x 4 4/5 = 15/7 * 24/5 = 72 / 7 = 10 2/7

8 2/5 : 4/5 = 42/5:4/5 = 42/5*5/4 = 21/2 = 10 ½

4,38 : 1,2 = 3,65

-3 1/4 - 4 1/3 = -13/4-13/3 = -39/12-52/12 = - 91/12 = 7 7/12

2 1/3 + (-5 3/5) = 7/3 - 28/5 = 35/15-84/15 = -49/15 = -3 4/15

1 1/2 x (- 2/3) =  3/2 * (-2/3) = -1

(-3 1/3) : (-2 2/9) = (-10/3):(-21/9) = (-10/3)*(-9/21) = 30/21 = 1 9/21 = 1 3/7

5/9 - 10/27 : (- 5/6 ) = 5/9-10/27*(-6/5) = 5/9+4/9 = 9/9 = 1

(5/6 + 1/3) : (2 2/3 - 1,75) = (5/6+2/6):(8/3-7/4) = 7/6:(32/12-21/12) = 7/6 : 11/12 = 7/6*12/11 = 14/11 = 1 3/11

4 - 1 1/4 : 1 9/16 =  4-5/4:25/16 = 4-5/4*16/25 = 4-4/5 = 3 1/5

-2,25 - 2,1 : 8 2/5 = -2,25-2,1:8,4 = -2,25-0,25 = -2,5

(-5/6) : (1 2/3 + 2 1/2) = (-5/6):(5/3+5/2) = (-5/6):(10/6+15/6) = (-5/6):(25/6) = (-5/6)*(6/25) = -1/5