Question

(10-1 17/27:22/45):4 4/9

Answer 1

Ответ:

1)1 17/27 : 22/45=44/27:22/45=10/3

2)10-10/3=30/3-10/3=20/3

3)20/3: 4 4/9=20/3 : 40/9=3/2=1,5

Пошаговое объяснение:

Answer 2

To solve this expression step by step, let's break it down:

1. First, simplify the expression inside the parentheses: 10 - (1 17/27:22/45)

2. Now, let's simplify the division inside the parentheses. To do this, we'll convert the mixed numbers into improper fractions: 1 = 27/27 17/27 ÷ 22/45

3. To divide fractions, multiply the first fraction by the reciprocal of the second fraction: (17/27) ÷ (22/45) = (17/27) * (45/22)

4. Now, multiply the numerators and denominators: (17 * 45) / (27 * 22)

5. Calculate the products: Numerator: 765 Denominator: 594

6. Simplify the fraction by finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it: GCD of 765 and 594 is 99 So, (765/99) / (594/99) = (765/99) ÷ (594/99)

7. Now, divide the numerators: 765 ÷ 99 = 7.7272...

8. Divide the denominators: 594 ÷ 99 = 6

9. The expression inside the parentheses simplifies to approximately 7.7272...

10. Now, we can subtract this value from 10: 10 - 7.7272... ≈ 2.2727...

11. Finally, divide the result by 4 4/9. To do this, convert 4 4/9 into an improper fraction: 4 4/9 = (9 * 4 + 4) / 9 = 40/9

12. Divide 2.2727... by 40/9: (2.2727...) ÷ (40/9) = (2.2727...) * (9/40)

13. Multiply the numerators and denominators: (2.2727...) * (9/40) ≈ 0.5103...

So, the final result is approximately 0.5103...