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
6 3/8
6 Start Fraction 3 over 8 End Fraction
7 3/8
7 Start Fraction 3 over 8 End Fraction
3/8
Start Fraction 3 over 8 End Fraction
6 7/12
To find the total distance Ellis rides, we need to add the lengths of Prairie Street and Plains Avenue together.
First, we need to convert the lengths to a common fraction.
Prairie Street = 3 7/8 miles = 8/8 + 7/8 = 15/8 miles
Plains Avenue = 3 5/10 miles = 10/10 + 5/10 = 15/10 miles
Now, we can add the fractions:
15/8 + 15/10
To add these fractions, we need to find a common denominator. In this case, the smallest number that both 8 and 10 can divide evenly into is 40.
Multiplying the first fraction by 5/5 (since 5 × 8 = 40) and the second fraction by 4/4 (since 4 × 10 = 40), we get:
(15/8) × (5/5) + (15/10) × (4/4)
= 75/40 + 60/40
Now, we can add the fractions:
(75/40) + (60/40)
= 135/40
Finally, we can simplify the fraction:
135/40 = 3 and 15/40
Since 15/40 can be simplified by dividing both the numerator and denominator by 5, we get:
3 and 15/40 = 3 and 3/8
Therefore, Ellis rides a total of 3 and 3/8 miles.