Add and Subtract Fractions Unit Test

Question

14 of 1514 of 15 Items
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

638
6 Start Fraction 3 over 8 End Fraction

38
Start Fraction 3 over 8 End Fraction

738
7 Start Fraction 3 over 8 End Fraction
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Answer 1

To find the total miles Ellis rides, we need to add the lengths of Prairie Street and Plains Avenue.

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

To add these fractions, we need to find a common denominator. In this case, 8 is already a common denominator.

3 7/8 + 3 5/10
= (3*8 + 7)/8 + (3*10 + 5)/10
= (24 + 7)/8 + (30 + 5)/10
= 31/8 + 35/10

Now, we can add the fractions:

= (31*10 + 35*8)/80 + (35*8 + 31*10)/80
= (310 + 280)/80 + (280 + 310)/80
= 590/80 + 590/80
= (590 + 590)/80
= 1180/80

Finally, we can simplify the fraction:

= 59/4

Therefore, the total miles Ellis rides is 59/4 or 14 3/4 miles.

The correct answer is:
14 3/4