Es time the answer below.

A). 3 10/11 +2 1/101 Chose 4 or 5 or 6 or 7
B) 5 2/47 - 2 1/35. Chose 2 or 3 or 4 or 5
C) 6 17/18 * 7 3/290. Chose 42or 49 or 63or 213

To find the answers to the given expressions, you need to perform the corresponding arithmetic operations on the mixed numbers. Here's how you can solve each expression:

A) Addition: To add mixed numbers, you need to first convert the mixed numbers into improper fractions, find a common denominator, and then add the fractions. Finally, convert the result back to a mixed number if needed. Let's solve it step by step:

3 10/11 + 2 1/101:
Step 1: Convert the mixed numbers into improper fractions:
3 10/11 = (3*11 + 10)/11 = 43/11
2 1/101 = (2*101 + 1)/101 = 203/101

Step 2: Find a common denominator (LCD):
The common denominator for 11 and 101 is 11 * 101 = 1111.

Step 3: Add the fractions using the common denominator:
43/11 + 203/101 = (43*101 + 203*11)/(11*101) = 4366/1111

Step 4: Simplify the result if needed:
In this case, the resulting fraction, 4366/1111, cannot be simplified further.

The answer is the improper fraction 4366/1111. Therefore, you should choose option 5.

B) Subtraction: The process for subtracting mixed numbers is similar to that of addition. Let's solve it step by step:

5 2/47 - 2 1/35:
Step 1: Convert the mixed numbers into improper fractions:
5 2/47 = (5*47 + 2)/47 = 237/47
2 1/35 = (2*35 + 1)/35 = 71/35

Step 2: Find a common denominator:
The common denominator for 47 and 35 is 47 * 35 = 1645.

Step 3: Subtract the fractions using the common denominator:
237/47 - 71/35 = (237*35 - 71*47)/(47*35) = 5847/1645

Step 4: Simplify the result if needed:
In this case, the fraction 5847/1645 cannot be simplified further.

The answer is the improper fraction 5847/1645. Therefore, you should choose option 4.

C) Multiplication: When multiplying mixed numbers, you can multiply the whole numbers and fractions separately, and then add the two results together. Let's solve it step by step:

6 17/18 * 7 3/290:
Step 1: Convert the mixed numbers into improper fractions:
6 17/18 = (6*18 + 17)/18 = 125/18
7 3/290 = (7*290 + 3)/290 = 2033/290

Step 2: Multiply the whole numbers and the fractions separately:
6 * 7 = 42
125/18 * 2033/290

Step 3: Multiply the fractions:
125/18 * 2033/290 = (125 * 2033) / (18 * 290) = 254125 / 5220

Step 4: Simplify the result if needed:
In this case, the fraction 254125/5220 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5. The simplified fraction is 50825/1044.

The answer is the simplified fraction 50825/1044. Therefore, you should choose option 63.

To summarize:

A) 3 10/11 + 2 1/101 = 4366/1111 (Choose option 5)
B) 5 2/47 - 2 1/35 = 5847/1645 (Choose option 4)
C) 6 17/18 * 7 3/290 = 50825/1044 (Choose option 63)