Question

(15-9 1/3):2/3 _______________-8,45= (19 2/3-11 7/9)*9/71

Answer 1

 Знак / - это делить или дробь?

Answer 2

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

Step 1: Simplify the expression within the parentheses:

(15 - 9 + 1/3) = (6 + 1/3) = 6 1/3

Step 2: Divide 6 1/3 by 2/3:

To divide fractions, we invert the second fraction and multiply:

6 1/3 ÷ 2/3 = (19/3) ÷ (2/3) = (19/3) * (3/2) = 57/6 = 9 1/2

Step 3: Subtract 8.45 from 9 1/2:

To subtract mixed numbers, we need to convert them to improper fractions:

9 1/2 = (19/2)

(19/2) - 8.45 = (19/2) - (16.9/2) = (19 - 16.9)/2 = 2.1/2 = 2.1 ÷ 2 = 1.05

Step 4: Multiply (19 + 2/3 - 11 + 7/9) by 9/71:

To simplify this expression, we first need to find a common denominator for the fractions:

19 + 2/3 - 11 + 7/9 = 19 + (2 * 3)/(3 * 3) - 11 + (7 * 9)/(9 * 9) = 19 + 6/9 - 11 + 63/81

Next, we combine the fractions:

19 + 6/9 - 11 + 63/81 = 19 + 2/3 - 11 + 7/9 = (57/3) + (2/3) - (33/3) + (7/9) = (57 + 2 - 33 + 7)/3 = 33/3 = 11

Finally, we multiply 11 by 9/71:

11 * (9/71) = (11 * 9)/71 = 99/71

Step 5: Add the results obtained in steps 3 and 4:

1.05 + (99/71) = (1.05 * 71 + 99)/71 = (74.55 + 99)/71 = 173.55/71

Therefore, the value of the given expression is approximately 2.4415 (rounded to four decimal places).