Question

-4/5*(-15/64) -6 2/3:1 1/9 0,5*(-0,9) 2,8:7/8 -5 3/4*2 18/39*(3 9/23) -0,96:0,016:(-1 1/5)

Answer 1

Ответ:

1. 3/16

2. -20/27

3. -0,45

4. 16/5

5. 18

6. 50

Пошаговое объяснение:

.

Answer 2

Let's solve each of the expressions step by step:

1. -4/5 * (-15/64): = (4/5) * (15/64) (negating a negative number is the same as multiplying by its positive counterpart) = (4 * 15) / (5 * 64) (multiplying fractions) = 60 / 320 = 3 / 16

2. -6 2/3 : 1 1/9: Convert mixed numbers to improper fractions: -6 2/3 = (-6 * 3 + 2) / 3 = (-18 + 2) / 3 = -16 / 3 1 1/9 = (1 * 9 + 1) / 9 = (9 + 1) / 9 = 10 / 9

   = (-16/3) : (10/9) (dividing by a fraction is the same as multiplying by its reciprocal) = (-16/3) * (9/10) = -144 / 30 = -72 / 15 = -24/5

3. 0.5 * (-0.9): = -0.5 * 0.9 = -0.45

4. 2.8 : (7/8): = 2.8 * (8/7) (dividing by a fraction is the same as multiplying by its reciprocal) = 22.4 / 7 = 3.2

5. -5 3/4 * 2: Convert mixed number to an improper fraction: -5 3/4 = (-5 * 4 + 3) / 4 = (-20 + 3) / 4 = -17 / 4

   = (-17/4) * 2 = -34 / 4 = -17/2

6. 18/39 * (3 9/23): Convert mixed number to an improper fraction: 3 9/23 = (3 * 23 + 9) / 23 = (69 + 9) / 23 = 78 / 23

   = (18/39) * (78/23) = 1404 / 897 ≈ 1.566

7. -0.96 : 0.016 : (-1 1/5): Convert mixed number to an improper fraction: -1 1/5 = (-1 * 5 + 1) / 5 = (-5 + 1) / 5 = -4 / 5

   = (-0.96) : (0.016) : (-4/5) = (-0.96) : (0.016 * (-5/4)) (dividing by a fraction is the same as multiplying by its reciprocal) = (-0.96) : (-0.02) = 48

Therefore, the results are:

1. -4/5 * (-15/64) = 3/16
2. -6 2/3 : 1 1/9 = -24/5
3. 0.5 * (-0.9) = -0.45
4. 2.8 : (7/8) = 3.2
5. -5 3/4 * 2 = -17/2
6. 18/39 * (3 9/23) ≈ 1.566
7. -0.96 : 0.016 : (-1 1/5) = 48