(9 1/4-8 2/3)* 1 5/7+(42/9-2 5/6): 1 1/9=?
27,25-5/256=?

Предыдущий
вопрос Следующий
вопрос

To solve the first part of the equation:

(9 1/4 - 8 2/3) * 1 5/7 + (42/9 - 2 5/6) : 1 1/9

First, let's convert the mixed numbers to improper fractions:

9 1/4 = 37/4
8 2/3 = 26/3
1 5/7 = 12/7
2 5/6 = 17/6
1 1/9 = 10/9

Now, we can substitute these values into the equation:

((37/4) - (26/3)) * (12/7) + ((42/9) - (17/6)) / (10/9)

To simplify this equation further:

((37/4) - (26/3)) (12/7) + ((14/3) - (17/6)) / (10/9)
(111/12 - 104/12) (12/7) + (28/9 - 17/6) / (10/9)
(7/12) * (12/7) + (16/9) / (10/9)
1 + (16/9) / (10/9)
1 + 16/10
1 + 1.6
2.6

Therefore, the result of the first part of the equation is 2.6.

Now let's calculate the second part of the equation:

27.25 - 5/256

Convert 27.25 to an improper fraction:

27.25 = 109/4

Now we can subtract:

109/4 - 5/256
(109*64)/256 - 5/256
6976/256 - 5/256
(6976 - 5)/256
6971/256

Therefore, the result of the second part of the equation is 6971/256.

Putting it all together:

2.6 - 6971/256
= 2.6 - 6971/256
= 2.6 - 27.296875
= -24.696875

So, the final answer is -24.696875.

If you need further assistance, feel free to ask.