Question

-8/11:(-3/11) +1/3 8 1/2 /1/7+2/3

Answer 1

Ответ:

$\frac{ - 8}{11} \div (\frac{ - 3}{11} ) + \frac{1}{3} \\ \frac{8}{11} \ \times \frac{11}{3} + \frac{1}{3} \\ 8 \times \frac{1}{3} + \frac{1}{3} \\ \frac{8}{3} + \frac{1}{3} \\ 3$

Пошаговое объяснение:

вот второе не понела...

Answer 2

Let's break down the expression step by step:

1. Start with the division inside the first set of parentheses: -8/11 divided by (-3/11):

   -8/11 / (-3/11) = (-8/11) * (-11/3) [When dividing by a fraction, you can multiply by its reciprocal]

2. Simplify the expression:

   (-8/11) * (-11/3) = (8/3)

3. Now, let's move on to the addition inside the first set of parentheses:

   (8/3) + (1/3)

4. Combine the fractions:

   (8/3) + (1/3) = (8/3 + 1/3)

5. Combine the numerators:

   (8 + 1) / 3 = 9/3

6. Simplify the fraction:

   9/3 = 3

So, the result of the first part of the expression is 3.

Now, let's move on to the second set of parentheses:

1. Start with the division: 8 1/2 divided by 1/7 + 2/3:

   8 1/2 / 1/7 + 2/3

2. Convert the mixed number (8 1/2) to an improper fraction:

   8 1/2 = 17/2

3. Now, we have:

   (17/2) / (1/7) + 2/3

4. Divide by a fraction by multiplying by its reciprocal:

   (17/2) * (7/1) + 2/3

5. Multiply the fractions:

   (17 * 7) / (2 * 1) + 2/3

6. Calculate the products in the numerators and denominators:

   (119/2) + 2/3

7. To add these fractions, you need a common denominator. The common denominator is 6, so we'll convert both fractions to have a denominator of 6:

   (119/2) * (3/3) + (2/3) * (2/2)

8. This gives us:

   (357/6) + (4/6)

9. Add the fractions with the common denominator:

   (357/6 + 4/6) = 361/6

So, the result of the second part of the expression is 361/6.

Now, let's add the results from the two parts:

3 + 361/6

To add these, you need a common denominator, which is 6:

3 = 18/6

Now, add the fractions:

(18/6) + (361/6) = 379/6

So, the final result of the expression is 379/6.