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 7/12

7 3/8

3/8

6 3/8

Answer 1

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

3 7/8 + 3 5/10

First, we need to convert the fractions to have the same denominator:

3 7/8 = (8 * 3 + 7)/8 = 31/8

3 5/10 = (10 * 3 + 5)/10 = 35/10

Now, we can add the fractions:

31/8 + 35/10

To add fractions, we need to find a common denominator:

The least common multiple of 8 and 10 is 40.

31/8 = (31 * 5)/(8 * 5) = 155/40
35/10 = (35 * 4)/(10 * 4) = 140/40

Now, we can add the fractions:

155/40 + 140/40 = (155 + 140)/40 = 295/40

The sum of the fractions is 295/40.

To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which in this case is 5:

295/40 = (295 ÷ 5)/(40 ÷ 5) = 59/8

So, the total distance Ellis rides is 59/8 miles.

In mixed number form, this can be written as:

59/8 = 7 3/8

Therefore, the correct answer is 7 3/8.