Question

3 1/6+(-2 5/9)-(-1 7/12)=​

Answer 1

Ответ:

2 7/36

Пошаговое объяснение:

3  1 /6  + (-2  5/ 9 ) = 3  1/ 6  - 2  5/ 9  =   1 + 3·6 /6  -   5 + 2·9 /9  =   19/ 6  -   23 /9  =   19·3 /6·3  -   23·2/ 9·2  =   57 /18  -   46 /18  =   57 - 46/ 18  =   11/ 18

11/ 18  - (-1  7 /12 ) =   11 /18  + 1  7/ 12  = 1 +   11/ 18  +   7/ 12  = 1 +   11 · 2/ 18 · 2  +   7 · 3/ 12 · 3  = 1 +   22/ 36  +   21 /36  = 1 +   22 + 21/ 36  = 1 +   43/ 36  = 1 +   1·36 + 7/ 36  = 2  7/ 36

Answer 2

To solve the expression 3 1/6 + (-2 5/9) - (-1 7/12), you can follow these steps:

Step 1: Convert mixed numbers to improper fractions.

3 1/6 is equivalent to (3 * 6 + 1)/6 = (18 + 1)/6 = 19/6.

-2 5/9 is equivalent to (-2 * 9 + 5)/9 = (-18 + 5)/9 = -13/9.

-1 7/12 is equivalent to (-1 * 12 + 7)/12 = (-12 + 7)/12 = -5/12.

Now, the expression becomes:

(19/6) + (-13/9) - (-5/12)

Step 2: Subtract the negative fractions by adding their positive counterparts.

(19/6) + (-13/9) + (5/12)

Step 3: Find a common denominator for the fractions, which is 36.

To make all fractions have a common denominator of 36:

• Multiply (19/6) by (6/6) to get (19/6) * (6/6) = 114/36.
• Multiply (-13/9) by (4/4) to get (-13/9) * (4/4) = -52/36.
• Multiply (5/12) by (3/3) to get (5/12) * (3/3) = 15/36.

Now the expression becomes:

(114/36) + (-52/36) + (15/36)

Step 4: Add the fractions:

(114/36) + (-52/36) + (15/36) = (114 - 52 + 15)/36 = 77/36.

So, 3 1/6 + (-2 5/9) - (-1 7/12) = 77/36, which is an improper fraction. If you want to convert it back to a mixed number, it would be approximately equal to 2 5/36.