Question

22/3 х ( 2 1/3 + 2 5/12) - 4 4/5

Answer 1

Ответ:

Если в первом дробе 2 2/3, то ответ 7 13/15, а если 22/3, то ответ 30 1/30

Answer 2

To solve this expression, follow these steps:

1. Convert the mixed numbers to improper fractions. 2 1/3 = 7/3 2 5/12 = 29/12 4 4/5 = 24/5

2. Perform the operations inside the parentheses: 7/3 + 29/12 = (4/4)(28/12) + 29/12 = (32/12) + (29/12) = 61/12

3. Now, you have the expression as:

   (22/3) * (61/12) - (24/5)

4. Multiply the fractions and then subtract:

   (22/3) * (61/12) = (22 * 61) / (3 * 12) = 1342/36

   Now, simplify the fraction: 1342/36 = (2 * 671) / (2 * 18) = 671/18

5. Subtract 671/18 from 24/5:

   To subtract fractions, they need the same denominator. The common denominator for 18 and 5 is 90.

   (671/18) - (24/5) = (671/18) - (432/90)

6. Adjust both fractions to have a common denominator of 90:

   (671/18) * (5/5) - (432/90) * (2/2) = (3355/90) - (864/90)

7. Now, subtract:

   (3355/90) - (864/90) = (3355 - 864) / 90 = 2691/90

8. Simplify the fraction:

   2691/90 = (3 * 897) / (3 * 30) = 897/30

9. Finally, simplify further:

   897/30 = (3 * 299) / (3 * 10) = 299/10

So, the final result of the expression is 299/10 or 29.9 when expressed as a mixed number.