Question

(2 4/9 + 1 1/6)×1 4/5- 3 1/9 : 2 1/3

Answer 1

Ответ:

5 1/6

Пошаговое объяснение:

2 4/9+1 1/6=2 8/18+1 3/18=3 11/18

3 11/18*1 4/5=65/18*9/5=13/2

3 1/9:2 1/3=28/9*3/7=4/3

13/2-4/3=39/6-8/6=31/6=5 1/6

Answer 2

To solve the expression, let's follow the order of operations: parentheses, multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Step 1: Addition First, we need to add the two mixed numbers: (2 4/9 + 1 1/6).

To add these fractions, we need a common denominator. The common denominator for 9 and 6 is 18.

2 4/9 = (2 * 9 + 4)/9 = 22/9 1 1/6 = (1 * 6 + 1)/6 = 7/6

Now, we can add them:

(22/9 + 7/6) = (44/18 + 21/18) = 65/18

Step 2: Multiplication Next, we need to multiply the result from Step 1 by 1 4/5.

1 4/5 = (1 * 5 + 4)/5 = 9/5

Now, we can perform the multiplication:

(65/18) * (9/5) = (65 * 9) / (18 * 5) = 585 / 90

Step 3: Division Now, we need to divide the result from Step 2 by 3 1/9.

3 1/9 = (3 * 9 + 1)/9 = 28/9

Now, we can perform the division:

(585/90) / (28/9) = (585/90) * (9/28) = (585 * 9) / (90 * 28) = 5265 / 2520

Step 4: Division (Final Step) Finally, we need to divide the result from Step 3 by 2 1/3.

2 1/3 = (2 * 3 + 1)/3 = 7/3

Now, we can perform the division:

(5265/2520) / (7/3) = (5265/2520) * (3/7) = (5265 * 3) / (2520 * 7) = 15795 / 17640

The final result of the expression is 15795/17640, which can be simplified further if needed.