Question

9/10+4/9:(2-1 11/21)-1 2/3 РЕШИТЕЕЕЕЕЕЕЕ

Answer 1

Готово переписывай ответ

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Perform operations inside parentheses (if any).
2. Solve any multiplication or division from left to right.
3. Solve any addition or subtraction from left to right.

The expression is:

9/10 + 4/9 : (2 - 1 11/21) - 1 2/3

Step 1: Inside the parentheses, calculate 2 - 1 11/21:

To perform the subtraction, we need to convert 1 11/21 into an improper fraction: 1 * 21 + 11 = 21 + 11 = 32 So, 1 11/21 = 32/21.

Now, 2 - 32/21 can be calculated by finding a common denominator, which is 21: 2 * 21/21 - 32/21 = 42/21 - 32/21 = (42 - 32) / 21 = 10/21.

Step 2: Next, perform the division:

4/9 : 10/21

To divide fractions, we multiply by the reciprocal of the divisor: 4/9 * 21/10 = (4 * 21) / (9 * 10) = 84 / 90.

Now, we need to simplify the fraction: 84 = 2 * 2 * 3 * 7 90 = 2 * 3 * 3 * 5 So, 84/90 = (2 * 2 * 3 * 7) / (2 * 3 * 3 * 5) = (2 * 7) / (3 * 5) = 14/15.

Step 3: Finally, perform the addition and subtraction:

9/10 + 14/15 - 1 2/3

To add fractions, we need a common denominator, which is 30: 9/10 * 3/3 = 27/30 14/15 * 2/2 = 28/30

Now, the expression becomes:

27/30 + 28/30 - 1 2/3

To convert 1 2/3 into an improper fraction: 1 * 3 + 2 = 3 + 2 = 5 So, 1 2/3 = 5/3.

Now, the expression becomes:

27/30 + 28/30 - 5/3

To add fractions with the same denominator:

(27 + 28) / 30 - 5/3 55/30 - 5/3

To subtract fractions with the same denominator, we need a common denominator, which is 30:

55/30 - 50/30 = (55 - 50) / 30 = 5/30

Now, we need to simplify the fraction:

5 = 1 * 5 30 = 2 * 3 * 5 So, 5/30 = (1 * 5) / (2 * 3 * 5) = 1/6.

The final result is:

1/6.