Question

3 1/6 +(-2 5/9)-(1 7/12)=помогите, надо в строчку решить

Answer 1

31/6+(-25/9)-(17/12)=186-100-51/36=35/36

Answer 2

To solve the equation 3 + 1/6 - (-2 + 5/9) - (1 + 7/12), we can follow the order of operations (PEMDAS/BODMAS) to simplify the expression step by step.

Step 1: Simplify within parentheses

- The expression within the first set of parentheses is -2 + 5/9. - To simplify, we need to find a common denominator for -2 and 5/9, which is 9. - -2 can be written as -18/9, so the expression becomes -18/9 + 5/9. - Combining the terms, we get (-18 + 5)/9 = -13/9.

- The expression within the second set of parentheses is 1 + 7/12. - No further simplification is needed for this expression.

Step 2: Perform addition and subtraction from left to right

- Now, we can substitute the simplified expressions back into the original equation: 3 + 1/6 - (-13/9) - (1 + 7/12). - Let's perform the addition and subtraction from left to right.

- First, we have 3 + 1/6. To add these fractions, we need to find a common denominator, which is 6. - 3 can be written as 18/6, so the expression becomes 18/6 + 1/6. - Combining the terms, we get (18 + 1)/6 = 19/6.

- Next, we have 19/6 - (-13/9). To subtract fractions, we need to find a common denominator, which is 54. - 19/6 can be written as 171/54, and -13/9 can be written as -26/18. - The expression becomes 171/54 - (-26/18). - To subtract fractions, we change the subtraction to addition and change the sign of the second fraction. - Combining the terms, we get (171/54 + 26/18).

- Finally, we have (171/54 + 26/18) - (1 + 7/12). - To add these fractions, we need to find a common denominator, which is 216. - The expression becomes (171/54 + 78/54) - (12/12 + 7/12). - Combining the terms, we get (249/54) - (19/12).

Step 3: Simplify the final expression

- To subtract fractions, we need to find a common denominator, which is 216. - The expression becomes (249/54) - (38/12). - To subtract fractions, we change the subtraction to addition and change the sign of the second fraction. - Combining the terms, we get (249/54 + 38/12).

Therefore, the simplified expression is (249/54 + 38/12).

Please note that the above solution is based on the given equation. If you have any further questions or need additional assistance, feel free to ask.