Question

3 3/23 * (-11 4/9 - (-3,6) : 9/35) - 4 5/6

Answer 1

Ответ:

Пошаговое объяснение:

решение

1) -  36\10 : 9\35 = - 36\10 * 35\9 = - 140\10 = -14

2) - 11  4\9 - ( - 14) = - 103\9   +   14 = - 103+126  \ 9  = 23\9

3) 3  3\23  *  23\9 = 72\23 * 23\9 = 8

4) 8 - 4  5\6  = 8 -  29\6  =  48-29  \ 6 =  19\6 =  3  1\6

Answer 2

To simplify the given expression, let's start by converting all mixed numbers to improper fractions:

• Convert -11 4/9 to an improper fraction: -11 4/9 = - (11 * 9 + 4) / 9 = - (99 + 4) / 9 = -103/9

• Convert 4 5/6 to an improper fraction: 4 5/6 = (4 * 6 + 5) / 6 = (24 + 5) / 6 = 29/6

Now, the expression becomes:

3 3/23 * (-103/9 - (-3,6) : 9/35) - 29/6

Next, let's simplify the division of the mixed number (-3, 6) by the fraction 9/35:

• Convert -3,6 to an improper fraction: -3,6 = - (3 * 10 + 6) / 10 = - (30 + 6) / 10 = -36/10

Now, divide -36/10 by 9/35:

-36/10 ÷ 9/35 = (-36/10) * (35/9) = -36 * 35 / (10 * 9) = -1260 / 90 = -14

Now, the expression becomes:

3 3/23 * (-103/9 - (-14)) - 29/6

Next, simplify the subtraction inside the parentheses:

-103/9 - (-14) = -103/9 + 14 = (14 * 9 + (-103)) / 9 = (126 - 103) / 9 = 23/9

Now, the expression becomes:

3 3/23 * (23/9) - 29/6

Next, let's multiply the whole number 3 by the fraction 3/23:

3 * 3/23 = 9/23

Now, the expression becomes:

9/23 * (23/9) - 29/6

The numerator and denominator of the first fraction cancel out, leaving:

1 - 29/6

Now, find a common denominator for the subtraction:

1 = 6/6

So, the expression becomes:

6/6 - 29/6

Combine the fractions with the same denominator:

(6 - 29)/6 = -23/6

Therefore, the simplified result of the expression is -23/6.