Question

(3/8+21/7•1120) :3/4-13/5

Answer 1

На другие записи не обращай внимания

Answer 2

Let's solve this step by step:

Step 1: Simplify the expressions within parentheses and brackets.

First, simplify the expressions within the parentheses: 3/8 + 21/7 * 1120 = 3/8 + 3 * 1120

Now, calculate 3 * 1120: 3 * 1120 = 3360

So, the expression within the parentheses becomes: 3/8 + 3360

Step 2: Calculate the expression within the square brackets (denominator).

3/4 - 13/5 = (15/20) - (16/20)

Now, calculate the subtraction: (15/20) - (16/20) = -1/20

Step 3: Divide the expression from Step 1 by the expression from Step 2:

(3/8 + 3360) / (-1/20)

Now, divide by a fraction is the same as multiplying by its reciprocal, so we have:

(3/8 + 3360) * (-20/1)

Step 4: Simplify the multiplication:

(3/8 + 3360) * (-20)

Now, let's calculate the sum within the parentheses:

3/8 + 3360 = 3360 + 3/8

To add these two numbers, we need a common denominator, which is 8. So, convert 3360 to a fraction with a denominator of 8:

3360 = 3360/1 = (3360/1) * (8/8) = 26880/8

Now, we can add the fractions:

(26880/8 + 3/8) * (-20)

Step 5: Continue simplifying the expression:

(26880/8 + 3/8) * (-20)

Now, add the fractions within the parentheses:

(26880/8 + 3/8) = (26880 + 3)/8 = 26883/8

So, the expression becomes:

(26883/8) * (-20)

Step 6: Multiply:

(26883/8) * (-20) = (26883 * -20) / 8

Now, calculate the multiplication:

(26883 * -20) = -537660

So, the final result is:

-537660 / 8 = -67207.5

Therefore, the value of the expression is -67207.5.