Sierra rode her bike 12 7/8 miles. First she rode 3 2/3 miles to the park, then she rode 2 11/12 miles to the farm market, and finally she rode to her aunt's house. How many miles did Sierra ride from the farm market to her aunt's house?

Answer: Sierra rode 6 28/96 miles from the farm market to her aunt's house

Step-by-step explanation:

The distance that Sierra covered in riding her bike to the park is 3 2/3 miles. Converting 3 2/3 miles to improper fraction, it becomes 11/3 miles

The distance that she covered in riding her bike to the farm market is 2 11/12 miles. Converting 2 11/12 miles to improper fraction, it becomes 35/12 miles.

The total distance covered by riding to the park and the farm market is

11/3 + 35/12 = 79/12 miles

She finally she rode to her aunt's house. If the total distance covered is 12 7/8 miles, converting 12 7/8 miles to improper fraction, it becomes 103/8 miles.

The distance that she covered by riding to her aunt's house is

103/8 - 79/12 = 604/96 =

6 28/96 miles