Question

1) 3/4-5/6=? 2) (-5,18)6=?3) -6/7+25=?4) (-2,37)5=?5) (-3,2-1,7):0,7=?6) 1,2-(-5)×(-3)=?7) (-1,5)2=?8) -3/8×2=?9) 5,4:(-0,9)=?10) -1×2/3=?11) вычислите 3 1/7×(-4)-1,8:(-0,1)+20/21:1 2/3​

Answer 1

1) 3/4-5/6=9-10/12= -1/12

7)-1,5•2= -3

8)-3/8•2= -6/8= -3/4 сокращение

9) 5/4:(-0,9)= 5/4:(-9/10)= 5/4•(-10/9)= -5•9/4•9= -45/36= -5/4 потому что сокращение

10) -1•2/3= -2/3

Answer 2

Ответ:

Пошаговое объяснение:

1)3/4-5/6=9/12-10/12= -1/12;

2)(-5,18)*6=-31,08;

3)-6/7+25=-6/7+175/7=169/7=24 1/7;

4) (-2,37)5=-11,85;

5) (-3,2-1,7):0,7=-4.9/0,7=-7;

6) 1,2-(-5)×(-3)=(1,2+5)*(-3)=6,2*(-3)=-18.6;

7) (-1,5)2=-3;

8) -3/8×2=-7,6;

9) 5,4:(-0,9)=-6;

10) -1×2/3=-2/3;

11)  3 1/7×(-4)-1,8:(-0,1)+20/21:12/3=-88/7+18+5/21=-264/21+5/21+18=-259/21+378/21=119/21=17/3=5 2/5

Answer 3

1. To subtract fractions, we need a common denominator. The common denominator for 4 and 6 is 12.

3/4 - 5/6 = (3/4)(3/3) - (5/6)(2/2) = 9/12 - 10/12 = (9 - 10)/12 = -1/12

Therefore, 3/4 - 5/6 is equal to -1/12.

2. Multiplying a point by a number means multiplying each coordinate of the point by that number.

(-5, 18) * 6 = (-5 * 6, 18 * 6) = (-30, 108)

So, (-5, 18) * 6 is equal to (-30, 108).

3. To add fractions, we need a common denominator. The common denominator for -6/7 and 25 is 7.

-6/7 + 25 = (-6/7)(1/1) + (25/1)(7/7) = -6/7 + 175/7 = (-6 + 175)/7 = 169/7

Therefore, -6/7 + 25 is equal to 169/7.

4. Multiplying a point by a number means multiplying each coordinate of the point by that number.

(-2, 37) * 5 = (-2 * 5, 37 * 5) = (-10, 185)

So, (-2, 37) * 5 is equal to (-10, 185).

5. To divide a point by a number, we divide each coordinate of the point by that number.

(-3, 2) - (1, 7) = (-3/0.7, 2/0.7) - (1/0.7, 7/0.7) = (-4.2857, 2.8571) - (1.4286, 10) = (-4.2857 - 1.4286, 2.8571 - 10) = (-5.7143, -7.1429)

So, (-3, 2) - (1, 7) divided by 0.7 is approximately equal to (-5.7143, -7.1429).

6. Multiplying and subtracting follows the order of operations. So, we calculate -5 * (-3) first.

1.2 - (-5) * (-3) = 1.2 - 15 = -13.8

Therefore, 1.2 - (-5) * (-3) is equal to -13.8.

7. Multiplying a point by a number means multiplying each coordinate of the point by that number.

(-1, 5) * 2 = (-1 * 2, 5 * 2) = (-2, 10)

So, (-1, 5) * 2 is equal to (-2, 10).

8. To multiply fractions, we multiply the numerators and denominators.

-3/8 * 2 = (-3 * 2)/(8 * 1) = -6/8 = -3/4

Therefore, -3/8 * 2 is equal to -3/4.

9. Dividing a number by a negative number is the same as multiplying by its reciprocal.

5.4 / (-0.9) = 5.4 * (-1/0.9) = 5.4 * (-10/9) = (-54/9) * 10 = -540/9 = -60

Therefore, 5.4 / (-0.9) is equal to -60.

10. Multiplying and dividing follow the order of operations. So, we calculate -1 * 2 first.

-1 * 2/3 = -2/3

Therefore, -1 * 2/3 is equal to -2/3.

11. Calculating the given expression:

3 1/7 × (-4) - 1.8 ÷ (-0.1) + 20/21 ÷ 1 2/3

First, we convert the mixed number 3 1/7 to an improper fraction:

3 1/7 = (7 * 3 + 1) / 7 = 22/7

Now we can calculate the expression:

(22/7) × (-4) - 1.8 ÷ (-0.1) + (20/21) ÷ (5/3)

= -88/7 - (-18) + (20/21) × (3/5)

= -88/7 + 18 + (60/105)

To add fractions, we need a common denominator. The common denominator for 7 and 105 is 735:

= (-88/7) × (105/105) + (18/1) × (735/735) + (60/105) × (7/7)

= (-88 × 105)/735 + 18 × 735/735 + 60/105 × 7/7

= -9240/735 + 13230/735 + 420/735

= (-9240 + 13230 + 420)/735

= 8190/735

= 38/3

Therefore, the value of the expression 3 1/7 × (-4) - 1.8 ÷ (-0.1) + 20/21 ÷ 1 2/3 is equal to 38/3.