Question

(9 5/9 - 11) • 2/26 - 16 ÷ (2 1/2 - 4 5/6)=?

Answer 1

Ответ:

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Объяснение:

Answer 2

To solve the expression:

(9 5/9 - 11) * 2/26 - 16 ÷ (2 1/2 - 4 5/6)

Let's break it down step by step.

Step 1: Simplify the fractions within the expression.

9 5/9 can be written as an improper fraction: (9 * 9 + 5) / 9 = 86/9.

2 1/2 can be written as an improper fraction: (2 * 2 + 1) / 2 = 5/2.

4 5/6 can be written as an improper fraction: (4 * 6 + 5) / 6 = 29/6.

Now the expression becomes:

(86/9 - 11) * 2/26 - 16 ÷ (5/2 - 29/6)

Step 2: Perform the operations within parentheses.

Inside the first set of parentheses, subtract 11 from 86/9:

86/9 - 11 = 86/9 - (11 * 9/9) = (86 - 99) / 9 = -13/9.

Inside the second set of parentheses, subtract 29/6 from 5/2:

5/2 - 29/6 = (15/6 - 29/6) = -14/6 = -7/3.

Now the expression becomes:

(-13/9) * 2/26 - 16 ÷ (-7/3)

Step 3: Perform the remaining operations.

Multiply -13/9 by 2/26:

(-13/9) * 2/26 = (-13 * 2) / (9 * 26) = -26/234 = -13/117.

Divide 16 by -7/3:

16 ÷ (-7/3) = 16 * (-3/7) = -48/7.

Now the expression becomes:

-13/117 - 48/7.

Step 4: Find the common denominator and subtract.

The common denominator for 117 and 7 is 819.

(-13/117) * (7/7) = -91/819.

(-48/7) * (117/117) = -5616/819.

Now the expression becomes:

-91/819 - 5616/819.

Step 5: Subtract the fractions.

-91/819 - 5616/819 = (-91 - 5616) / 819 = -5707/819.

Therefore, the simplified value of the expression is -5707/819.