Prairie Street is 3 7/8

Question

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

6 3/8

7 3/8

3/8

6 7/12

Answer 1

To find the total length that Ellis rides his bike, we need to add the lengths of Prairie Street and Plains Avenue.

Prairie Street is 3 7/8 miles long, and Plains Avenue is 3 5/10 miles long.

First, let's convert 3 7/8 to an improper fraction. To do this, we multiply the whole number 3 by the denominator 8 and add the numerator 7. This gives us 24 + 7 = 31. So, 3 7/8 is equivalent to 31/8.

Next, let's convert 3 5/10 to a fraction with the same denominator of 8. We can do this by multiplying the numerator 3 by 8 and adding the numerator 5 multiplied by 10. This gives us 24 + 50 = 74. So, 3 5/10 is equivalent to 74/10, which simplifies to 37/5.

Now, we can add the two fractions together.

31/8 + 37/5 = (31 * 5 + 37 * 8) / (8 * 5) = (155 + 296) / 40 = 451/40

Therefore, the total length that Ellis rides his bike is 451/40 miles.

However, we can simplify this fraction. 40 can be divided by both 8 and 5.

451 ÷ 5 = 90 remainder 1

1 ÷ 5 = 0 remainder 1

40 ÷ 8 = 5

So, the simplified fraction is 90 1/8.

Therefore, Ellis rides a total of 90 1/8 miles.