Question

4/3+(-5 1/2+ 5/4* 3 1/5) :9/10

Answer 1

Ответ:

- 11/18

Пошаговое объяснение:

Answer 2

To simplify the given expression, you can follow these steps:

1. First, simplify the expression inside the parentheses:

   -5 1/2 + 5/4 * 3 1/5

2. Convert the mixed numbers into improper fractions:

   -5 1/2 = -11/2 3 1/5 = 16/5

3. Perform the multiplication:

   (-11/2) + (5/4 * 16/5)

4. Multiply 5/4 by 16/5:

   (5/4) * (16/5) = (5 * 16) / (4 * 5) = 80/20 = 4

5. Now, simplify the expression within the parentheses:

   (-11/2) + 4

6. Add the fractions:

   To add -11/2 and 4, you need to find a common denominator, which is 2.

   -11/2 + 4 = -11/2 + 8/2 = (-11 + 8)/2 = -3/2

7. Now, you have the expression: -3/2

8. Finally, divide by 9/10:

   (-3/2) / (9/10)

9. To divide fractions, multiply by the reciprocal of the divisor:

   (-3/2) * (10/9)

10. Perform the multiplication:

(-3/2) * (10/9) = (-3 * 10) / (2 * 9) = -30/18

11. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6:

(-30/18) / 6 = (-5/3) / 6

12. Now, divide -5/3 by 6:

(-5/3) / 6 = (-5/3) * (1/6)

13. Perform the multiplication:

(-5/3) * (1/6) = (-5/18)

So, the simplified expression is -5/18.