Final answer:
The faucet has turned a total of 3 25/28 to the right, which is the sum of the two right turns of 2 1/7 and 1 3/4.
Step-by-step explanation:
To find out how far the water faucet has turned in total, we need to sum the two given rotations. The faucet was turned 2 1/7 to the right and then 1 3/4 to the right again. To add these two fractions, we can convert them to improper fractions and then sum them.
First step is to convert 2 1/7:
- 2 1/7 = (2 × 7) / 7 + 1/7 = 14/7 + 1/7 = 15/7.
Next, convert 1 3/4:
- 1 3/4 = (1 × 4) / 4 + 3/4 = 4/4 + 3/4 = 7/4.
To sum these, ensure denominators are the same or find a common denominator, and then add:
- (15/7) + (7/4) = (15 × 4) / (7 × 4) + (7 × 7) / (4 × 7) = 60/28 + 49/28 = 109/28.
Finally, we can convert this improper fraction back into a mixed number:
Thus, the faucet has turned 3 25/28 to the right in total.