Prairie Street is 3 7/8 miles long. Plains Avenue is 3 5/10 miles long. Ellis rides his bike the length of both Prairie Street and Plains Avenue. How many total miles does he ride?(1 point) Responses 3/8 3 eighths 6 3/8 6 and 3 eighths 6 7/12 6 and 7 over 12 7 3/8

2 answers

To find the total distance that Ellis rides, we need to add the length of Prairie Street and Plains Avenue:

3 7/8 + 3 5/10

Let's first convert the mixed numbers to improper fractions:
3 7/8 = 31/8
3 5/10 = 35/10

Now, we add the fractions:
31/8 + 35/10 = (31*10)/(8*10) + (35*8)/(10*8) = 310/80 + 280/80 = (310 + 280)/80 = 590/80

Now, let's simplify the fraction:
590/80 = (59*10)/(8*10) = 59/8

Therefore, Ellis rides for a total of 59/8 miles, which can also be written as 7 3/8 miles.
thankyou