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
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.
To find the total distance Ellis rides, we need to add the length of Prairie Street and Plains Avenue.
The length of Prairie Street is 3 7/8 miles.
The length of Plains Avenue is 3 5/10 miles.
First, we need to convert the mixed numbers to improper fractions:
3 7/8 = (3 * 8 + 7) / 8 = 31/8
3 5/10 = (3 * 10 + 5) / 10 = 35/10
Now, we can add the two fractions:
31/8 + 35/10 = (31 * 10 + 35 * 8) / (8 * 10) = (310 + 280) / 80 = 590/80
Next, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 10 in this case:
590/80 = (59 * 10) / (8 * 10) = 59/8
Therefore, Ellis rides a total of 59/8 miles or 7 3/8 miles.
To find the total miles Ellis rides, we need to add the length of Prairie Street and Plains Avenue.
First, let's convert the lengths to a common denominator.
Prairie Street: 3 7/8 miles
Plains Avenue: 3 5/10 miles
Let's convert 3/8 to the same denominator as 5/10. The lowest common denominator is 40.
Prairie Street: 3 35/40 miles (since 7/8 = 35/40)
Plains Avenue: 3 20/40 miles (since 5/10 = 20/40)
Now, add both lengths together:
3 35/40 miles + 3 20/40 miles = 6 55/40 miles
Simplify the fraction:
55/40 = 1 15/40
Final answer: Ellis rides a total of 6 15/40 miles.