Question

1) -10 4/5:1 10/17 2) 4 1/9:(-0,74) 3) -0,675:(-1 1/8) 4) 31,5:(1 2/5) 5) -4,02:(-1 1/2) 6) 2 2/5:(-0,06)

Answer 1

1) -10 4/5:1 10/17 =-54/5*17/27=-34/5=-6 4/5

2) 4 1/9:(-0,74) =37/9*(-50/37)=-50/9=-5 5/9

3) -0,675:(-1 1/8) =-27/40*(-8/9)=-15

4) 31,5:(1 2/5) =31,5:1,4=22,5

5) -4,02:(-1 1/2) =-4,02:1,5=-2,68

6) 2 2/5:(-0,06)=12/5*(-50/3)=-40

Answer 2

To solve these division problems involving mixed numbers and fractions, you can follow these steps:

1. -10 4/5 ÷ 1 10/17 To divide these mixed numbers, convert them into improper fractions: -10 4/5 = -54/5 1 10/17 = 27/17 Now, divide: (-54/5) ÷ (27/17) Multiply by the reciprocal of the second fraction: (-54/5) * (17/27) = -918/135 Simplify the result by dividing both the numerator and denominator by their greatest common divisor, which is 9: -918 ÷ 9 / 135 ÷ 9 = -102/15 Now, simplify the fraction: -102/15 = -34/5

2. 4 1/9 ÷ (-0.74) Convert the mixed number to an improper fraction: 4 1/9 = 37/9 Now, divide: (37/9) ÷ (-0.74) To divide by a decimal, you can multiply by its reciprocal: (37/9) * (-1/0.74) Now, simplify: (37/9) * (-1/0.74) ≈ -5.1774

3. -0.675 ÷ (-1 1/8) Convert the mixed number to an improper fraction: -1 1/8 = -9/8 Now, divide: (-0.675) ÷ (-9/8) To divide by a fraction, you can multiply by its reciprocal: (-0.675) * (-8/9) Now, simplify: (-0.675) * (-8/9) ≈ 0.6

4. 31.5 ÷ (1 2/5) Convert the mixed number to an improper fraction: 1 2/5 = 7/5 Now, divide: 31.5 ÷ (7/5) To divide by a fraction, you can multiply by its reciprocal: 31.5 * (5/7) = 22.5

5. -4.02 ÷ (-1 1/2) Convert the mixed number to an improper fraction: -1 1/2 = -3/2 Now, divide: (-4.02) ÷ (-3/2) To divide by a fraction, you can multiply by its reciprocal: (-4.02) * (-2/3) = 8.04/3

6. 2 2/5 ÷ (-0.06) Convert the mixed number to an improper fraction: 2 2/5 = 12/5 Now, divide: (12/5) ÷ (-0.06) To divide by a decimal, you can multiply by its reciprocal: (12/5) * (-1/0.06) Now, simplify: (12/5) * (-1/0.06) ≈ -400.