Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much?

Question

A. Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles.
B. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles.
C. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles.
D. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles.

Answer 1

To compare the distances, we need to find a common denominator for the fractions:

StartFraction 139 over 8 EndFraction can be written as StartFraction 139 times 7 over 8 times 7 EndFraction, which is equal to StartFraction 973 over 56 EndFraction.

StartFraction 135 over 7 EndFraction can be written as StartFraction 135 times 8 over 7 times 8 EndFraction, which is equal to StartFraction 1080 over 56 EndFraction.

Comparing the distances, we see that Carlos rode further on Sunday by 1080/56 - 973/56 = 107/56 miles.

So the answer is C. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles.