Question

20:(6×3/11-1×8/11)-(7×2/5-5,8):5=

Answer 1

22,6 или же 113/5 , или 22 3/5

Answer 2

Відповідь:

22,6

Покрокове пояснення:

Answer 3

Let's break down the expression step by step:

1. Start with the first part of the expression: 6×3/11 - 1×8/11.
   • 6×3/11 = 18/11
   • 1×8/11 = 8/11

So, the first part simplifies to 18/11 - 8/11 = (18 - 8)/11 = 10/11.

2. Now, move on to the second part of the expression: 7×2/5 - 5.8.
   • 7×2/5 = 14/5
   • 5.8 = 58/10 (since 0.8 = 8/10)

So, the second part simplifies to 14/5 - 58/10.

3. Now, find a common denominator for the fractions in the second part, which is 10:

   • 14/5 - 58/10 = (28/10) - (58/10)

4. Subtract the fractions:

   • (28/10) - (58/10) = (28 - 58)/10 = (-30)/10 = -3.

Now, we have simplified both parts of the expression:

• First part: 10/11
• Second part: -3

5. Finally, put both parts back together in the original expression: 20:(10/11 - 3)

To divide by a fraction, you can multiply by its reciprocal. The reciprocal of (10/11 - 3) is (1 / (10/11 - 3)), so we have:

20 * (1 / (10/11 - 3))

Now, calculate the value of the expression within the parentheses first:

10/11 - 3 = (10/11) - (33/11) = (-23/11)

So, we have:

20 * (1 / (-23/11))

To divide by a fraction, multiply by its reciprocal:

20 * (11 / -23)

Now, multiply:

(20 * 11) / -23 = 220 / -23

So, the final result is approximately:

-9.5652 (rounded to four decimal places)