Question

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

6712
6 Start Fraction 7 over 12 End Fraction

738
7 Start Fraction 3 over 8 End Fraction

638
6 Start Fraction 3 over 8 End Fraction

38

Answer 1

Thanks have a nice day.

Answer 2

To find the total distance that Ellis rides, we need to add the lengths of Prairie Street (3 7/8 miles) and Plains Avenue (3 5/10 miles).

First, we'll convert both mixed numbers into improper fractions.

1. Prairie Street:
\[
3 \, \frac{7}{8} = \frac{3 \times 8 + 7}{8} = \frac{24 + 7}{8} = \frac{31}{8}
\]

2. Plains Avenue:
\[
3 \, \frac{5}{10} = \frac{3 \times 10 + 5}{10} = \frac{30 + 5}{10} = \frac{35}{10} = \frac{7}{2} \quad (\text{Note: simplified})
\]

Next, we need to add \(\frac{31}{8}\) and \(\frac{7}{2}\). To do that, we need a common denominator. The least common multiple of 8 and 2 is 8.

Now we convert \(\frac{7}{2}\) to have a denominator of 8:
\[
\frac{7}{2} = \frac{7 \times 4}{2 \times 4} = \frac{28}{8}
\]

Now we can add:
\[
\frac{31}{8} + \frac{28}{8} = \frac{31 + 28}{8} = \frac{59}{8}
\]

Now, to convert \(\frac{59}{8}\) back to a mixed number:
\[
59 \div 8 = 7 \quad \text{(with a remainder of } 3\text{)}
\]
Thus,
\[
\frac{59}{8} = 7 \, \frac{3}{8}
\]

The total distance Ellis rides is \(7 \, \frac{3}{8}\) miles.

Looking at the given response options, the correct answer is:
**7 Start Fraction 3 over 8 End Fraction**.