Question

(6 3\4:4 1\2+ 2 5\7):8 3\7

Answer 1

Ответ:

0.5

Пошаговое объяснение:

1) 27/2 ÷ 2/9 = 3/2

2) 3/2 + 19/7 = (21+38)/14 = 59/14

3)(59*7)/(14*59) = 1/2 = 0.5

Answer 2

Let's break down the expression step by step:

1. Start with the innermost operations within the parentheses:

   6 3/4 ÷ 4 1/2 = (6 + 3/4) ÷ (4 + 1/2)

2. Calculate the fractions within the parentheses:

   6 + 3/4 = 24/4 + 3/4 = 27/4

   4 + 1/2 = 8/2 + 1/2 = 9/2

3. Now, rewrite the expression with the fractions:

   (27/4) ÷ (9/2) + 2 5/7 ÷ 8 3/7

4. Perform the division of fractions:

   (27/4) ÷ (9/2) = (27/4) * (2/9) = (27 * 2) / (4 * 9) = 54/36

5. Simplify the fraction:

   54/36 = 3/2

6. Now, the expression becomes:

   3/2 + 2 5/7 ÷ 8 3/7

7. Perform the division of mixed numbers:

   2 5/7 ÷ 8 3/7 = (2 + 5/7) ÷ (8 + 3/7)

8. Calculate the fractions within the parentheses:

   2 + 5/7 = 14/7 + 5/7 = 19/7

   8 + 3/7 = 56/7 + 3/7 = 59/7

9. Now, rewrite the expression with the fractions:

   3/2 + 19/7 ÷ 59/7

10. Perform the division of fractions:

(19/7) ÷ (59/7) = (19/7) * (7/59) = (19 * 7) / (7 * 59) = 133/413

11. Now, add the fractions:

3/2 + 133/413

12. To add these fractions, they need a common denominator. The common denominator is 413:

(3/2) * (206.5/206.5) + 133/413

13. Perform the addition:

(3 * 206.5) / 413 + 133/413 = 619.5/413 + 133/413

14. Add the fractions:

(619.5 + 133) / 413 = 752.5 / 413

So, the final result is approximately:

752.5 / 413 ≈ 1.8228 (rounded to four decimal places)