Question

3 1/6 +(-2 5/9)-(1 7/12)ПОЖАЛУЙСТА​

Answer 1

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

Answer 2

To add and subtract mixed numbers, we need to convert them to improper fractions, perform the operations, and then simplify the result back to a mixed number if needed.

Let's begin with the given expression:

3 1/6 + (-2 5/9) - (1 7/12)

Step 1: Convert mixed numbers to improper fractions: 3 1/6 = (6 * 3 + 1) / 6 = 19 / 6 -2 5/9 = (9 * -2 + 5) / 9 = -23 / 9 1 7/12 = (12 * 1 + 7) / 12 = 19 / 12

Step 2: Perform the operations: 3 1/6 + (-2 5/9) - (1 7/12) = 19 / 6 + (-23 / 9) - (19 / 12)

Step 3: Find the common denominator, which is 36 (LCM of 6, 9, and 12): 19 / 6 = (19 * 6) / 36 = 114 / 36 -23 / 9 = (-23 * 4) / 36 = -92 / 36 19 / 12 = (19 * 3) / 36 = 57 / 36

Now, the expression becomes: 114 / 36 + (-92 / 36) - (57 / 36)

Step 4: Combine the fractions: = (114 - 92 - 57) / 36 = -35 / 36

Step 5: Convert back to a mixed number (if needed): To convert -35 / 36 to a mixed number, we divide the numerator by the denominator: -35 ÷ 36 = -1 with a remainder of -35 + 36 = 1

The final result is: -1 1/36

So, 3 1/6 + (-2 5/9) - (1 7/12) = -1 1/36.